An illustration of formal moduli problems with differential graded Lie algebras | Paper Citation Record

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This paper cites 7 Let Moduli Γ denote the full subcategory of Fun(Γ sm, S) spanned by formal moduli problems.

An illustration of formal moduli problems with differential graded Lie algebras 7 Let Moduli Γ denote the full subcategory of Fun(Γ sm, S) spanned by formal moduli problems

Reference 2

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

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This paper cites 1.3.5 Definition Let Γsm − →S be a formal moduli problem.

An illustration of formal moduli problems with differential graded Lie algebras 1.3.5 Definition Let Γsm − →S be a formal moduli problem

Reference 4

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

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This paper cites (b) The initial object ∅ ∈ Ξ0.

An illustration of formal moduli problems with differential graded Lie algebras (b) The initial object ∅ ∈ Ξ0

Reference 6

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

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This paper cites The unit map D′(D(A)) is an eqiuivalence in Γ.

An illustration of formal moduli problems with differential graded Lie algebras The unit map D′(D(A)) is an eqiuivalence in Γ

Reference 8

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

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This paper cites 10 1.4.4 A pair of corollaries.

An illustration of formal moduli problems with differential graded Lie algebras 10 1.4.4 A pair of corollaries

Reference 10

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This paper cites For every K ∈ Ξ, the composition Γsm ⊂ Γ D − →Ξop y(K) − − − →S is a formal moduli problem, which determines a functor Ψ : Ξ − →ModuliΓ ⊂ Fun(Γop, S).

An illustration of formal moduli problems with differential graded Lie algebras For every K ∈ Ξ, the composition Γsm ⊂ Γ D − →Ξop y(K) − − − →S is a formal moduli problem, which determines a functor Ψ : Ξ − →ModuliΓ ⊂ Fun(Γop, S)

Reference 11

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This paper cites For every α, K∈ Ξ, the composition Sf in ∗ Eα − − →Γ D − →Ξop y(K) − − − →S is strongly excisive, and can be indeitifed with a spectrum object eα(K) ∈ Spc.

An illustration of formal moduli problems with differential graded Lie algebras For every α, K∈ Ξ, the composition Sf in ∗ Eα − − →Γ D − →Ξop y(K) − − − →S is strongly excisive, and can be indeitifed with a spectrum object eα(K) ∈ Spc

Reference 12

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This paper cites Moreover, every first order deformationZ has an automorphism group which is naturally isomorphic to H 0(Z; TZ), where TZ is the tangent bundle of Z.

An illustration of formal moduli problems with differential graded Lie algebras Moreover, every first order deformationZ has an automorphism group which is naturally isomorphic to H 0(Z; TZ), where TZ is the tangent bundle of Z

Reference 13

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

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This paper cites The first two of these properties are nice and friendly, and can be exposited without too much extra machinery.

An illustration of formal moduli problems with differential graded Lie algebras The first two of these properties are nice and friendly, and can be exposited without too much extra machinery

Reference 15

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

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This paper cites Note here that Ri − →R01 are square zero (their kernel is order 2 nilpotent) extensions of R, i.e.

An illustration of formal moduli problems with differential graded Lie algebras Note here that Ri − →R01 are square zero (their kernel is order 2 nilpotent) extensions of R, i.e

Reference 17

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 18

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

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This paper cites 3.1.6 Proposition Let k be a field of characteristic zero.

An illustration of formal moduli problems with differential graded Lie algebras 3.1.6 Proposition Let k be a field of characteristic zero

Reference 20

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 21

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This paper cites Proof of lemma.

An illustration of formal moduli problems with differential graded Lie algebras Proof of lemma

Reference 22

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 23

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This paper cites We will now sketch the proof of 2.

An illustration of formal moduli problems with differential graded Lie algebras We will now sketch the proof of 2

Reference 24

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This paper cites Elements of Cn(g)n are of the form x + ϵy, where x ∈ gn, y∈ gn−1.

An illustration of formal moduli problems with differential graded Lie algebras Elements of Cn(g)n are of the form x + ϵy, where x ∈ gn, y∈ gn−1

Reference 25

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 26

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Observation 678c742c-8553-46fb-b9f2-dac3d121f063 · outbound

This paper cites 3.3.2 The homological Chevalley-Eilenberg complex Let g∗ be a differential graded Lie algebra over a field k.

An illustration of formal moduli problems with differential graded Lie algebras 3.3.2 The homological Chevalley-Eilenberg complex Let g∗ be a differential graded Lie algebra over a field k

Reference 27

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 28

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 29

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This paper cites Then C satisfies axiom 3.

An illustration of formal moduli problems with differential graded Lie algebras Then C satisfies axiom 3

Reference 30

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This paper cites If any pair of the three maps f, g,and g ◦ f are weak equivalences, then so is the third.

An illustration of formal moduli problems with differential graded Lie algebras If any pair of the three maps f, g,and g ◦ f are weak equivalences, then so is the third

Reference 31

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Reference 32

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This paper cites We mandate that acyclic cofibrations satisfy left lifting with respect to fibrations, and cofibrations satisfy left lifting with respect to acyclic fibrations.

An illustration of formal moduli problems with differential graded Lie algebras We mandate that acyclic cofibrations satisfy left lifting with respect to fibrations, and cofibrations satisfy left lifting with respect to acyclic fibrations

Reference 33

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This paper cites Equivalently, C has a fully faithful right adjoint localization C ,→ Psh(S), where PSh(S) is the category of presheaves on S.

An illustration of formal moduli problems with differential graded Lie algebras Equivalently, C has a fully faithful right adjoint localization C ,→ Psh(S), where PSh(S) is the category of presheaves on S

Reference 34

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This paper cites Note also that a model category is left proper if for every diagram A X B X ∪ B f i h where i is a cofibration and f is a weak equivalence, the map h is also a weak equivalence.

An illustration of formal moduli problems with differential graded Lie algebras Note also that a model category is left proper if for every diagram A X B X ∪ B f i h where i is a cofibration and f is a weak equivalence, the map h is also a weak equivalence

Reference 35

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

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This paper cites If any of these are satisfied, we say that ( F, G) deetermines a Quillen adjunction on the categories C and D.

An illustration of formal moduli problems with differential graded Lie algebras If any of these are satisfied, we say that ( F, G) deetermines a Quillen adjunction on the categories C and D

Reference 39

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Reference 40

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Reference 42

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Reference 43

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Reference 44

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Observation b221596f-f11b-474d-a5eb-d1171ebe96e5 · outbound

This paper cites Let X = lim − → {Xα}, Y = lim − → {Yα}.

An illustration of formal moduli problems with differential graded Lie algebras Let X = lim − → {Xα}, Y = lim − → {Yα}

Reference 45

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Observation 4e2966fb-fdda-4098-b2d2-290266f9eac3 · outbound

This paper cites 6.1.6 The nerve of a small category Let J be a small category.

An illustration of formal moduli problems with differential graded Lie algebras 6.1.6 The nerve of a small category Let J be a small category

Reference 46

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Observation 5fb2da46-467f-416a-b64a-e1a961c4091a · outbound

This paper cites Formal moduli problems and formal derived stacks.

An illustration of formal moduli problems with differential graded Lie algebras Formal moduli problems and formal derived stacks

Reference 47

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 48

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Observation 9605968a-9855-488a-abbb-86f2876ec3d0 · outbound

This paper cites Benjamin, Inc., New York, 1969.

An illustration of formal moduli problems with differential graded Lie algebras Benjamin, Inc., New York, 1969

Reference 49

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Reference 50

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An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 51

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Observation a9ca450c-4e29-4f51-a128-c7c080116ae3 · outbound

This paper cites Model categories, https://people.math.rochester.edu/faculty/doug/otherpapers/hovey- model-cats.pdf.

An illustration of formal moduli problems with differential graded Lie algebras Model categories, https://people.math.rochester.edu/faculty/doug/otherpapers/hovey- model-cats.pdf

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:43.840059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cd4074ca-3bfa-4c88-ac38-baf22877dd07 · outbound

This paper cites Derived Algebraic Geometry X: Formal Moduli Problems, https://people.math.harvard.edu/ lurie/papers/DAG- X.pdf.

An illustration of formal moduli problems with differential graded Lie algebras Derived Algebraic Geometry X: Formal Moduli Problems, https://people.math.harvard.edu/ lurie/papers/DAG- X.pdf

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:43.652348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7db46949-421b-4946-bcb4-b06050336de5 · outbound

This paper cites Higher Topos Theory, https://www.math.ias.edu/ lurie/papers/HTT.pdf.

An illustration of formal moduli problems with differential graded Lie algebras Higher Topos Theory, https://www.math.ias.edu/ lurie/papers/HTT.pdf

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:43.492040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fd4e7298-1027-4c86-a293-95b0fc2d6a5f · outbound

This paper cites Higher Algebra, https://www.math.ias.edu/ lurie/papers/HTT.pdf.

An illustration of formal moduli problems with differential graded Lie algebras Higher Algebra, https://www.math.ias.edu/ lurie/papers/HTT.pdf

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:43.325525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation be6f5b87-caee-4ea5-9202-93ede9a922be · outbound

This paper cites Spectral Algebraic Geometryhttps://www.math.uchicago.edu/ may/PAPERS/kmbooklatex.pdf.

An illustration of formal moduli problems with differential graded Lie algebras Spectral Algebraic Geometryhttps://www.math.uchicago.edu/ may/PAPERS/kmbooklatex.pdf

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:43.157407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e2288330-0dda-4f6e-949b-d341d24536ba · outbound

This paper cites Derived Algebrai Geometry III: Commutative Algebrahttps://math.mit.edu/ lurie/papers/DAG- III.pdf.

An illustration of formal moduli problems with differential graded Lie algebras Derived Algebrai Geometry III: Commutative Algebrahttps://math.mit.edu/ lurie/papers/DAG- III.pdf

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:43.015635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 25dace8e-081b-442b-9fd3-c8dc44d47253 · outbound

This paper cites Derived Algebraic Geometry IV: Deformation Theoryhttps://math.mit.edu/ lurie/papers/DAG- IV.pdf.

An illustration of formal moduli problems with differential graded Lie algebras Derived Algebraic Geometry IV: Deformation Theoryhttps://math.mit.edu/ lurie/papers/DAG- IV.pdf

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:42.886705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6d18674a-c12c-4eb8-a1d5-c35403de6102 · outbound

This paper cites and Verity, D.Infinite Category Theory from Scratch, https://math.jhu.edu/ eriehl/scratch.pdf.

An illustration of formal moduli problems with differential graded Lie algebras and Verity, D.Infinite Category Theory from Scratch, https://math.jhu.edu/ eriehl/scratch.pdf

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:42.732884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 33650dae-86cc-4119-bac7-3c7463617fec · outbound

This paper cites an unresolved cited work.

An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 60

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:44:42.543944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5b6644dd-8cd0-48da-b5ff-07452a2bb44a · outbound

This paper cites an unresolved cited work.

An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:44:42.401778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6dc7ff67-1cc5-41a7-bd02-65098d9cdae6 · outbound

This paper cites Derived Algebraic Geometry VI:E[k]-algebras,https://people.math.harvard.edu/ lurie/papers/DAG- VI.pdf.

An illustration of formal moduli problems with differential graded Lie algebras Derived Algebraic Geometry VI:E[k]-algebras,https://people.math.harvard.edu/ lurie/papers/DAG- VI.pdf

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:42.218220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 10e39b65-ac3d-4ab9-bd40-875152b89e60 · outbound

This paper cites an unresolved cited work.

An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:44:42.058060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7012fc9d-96f1-4e67-8871-bd4c641e7abe · outbound

This paper cites and May, J.P.Operads, Algebras, Modules, and Motives https://www.math.uchicago.edu/ may/PAPERS/kmbooklatex.pdf.

An illustration of formal moduli problems with differential graded Lie algebras and May, J.P.Operads, Algebras, Modules, and Motives https://www.math.uchicago.edu/ may/PAPERS/kmbooklatex.pdf

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:41.931370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2d94e93f-46f8-47c3-a083-a01e44fa69d2 · outbound

This paper cites an unresolved cited work.

An illustration of formal moduli problems with differential graded Lie algebras Unresolved cited work

Reference 65

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:44:41.744122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Coverage vector

Reference resolution

Outbound references

Pith citing papers