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Paper Citation Record · LEDGER

Polynomial $2$-monads and delooping

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2605.25222.

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pith.paper-citation-record.v1
2605.25222 v1

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measured 31 of 31 reference resolution

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measured 31 of 31 standing notices

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31 of 31 outbound references displayed

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Outbound references

Observation 3156bd3b-a1f9-4a3f-89f0-af36eb81c257 · outbound

This paper cites On the rational homology of high-dimensional analogues of spaces of long knots.Geometry & Topology, 18(3):1261–1322, 2014.

Polynomial $2$-monads and delooping On the rational homology of high-dimensional analogues of spaces of long knots.Geometry & Topology, 18(3):1261–1322, 2014

Reference 1

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Observation cd62f4f3-2329-4e08-ae0a-073ff4658c59 · outbound

This paper cites Monoidal globular categories as a natural environment for the theory of weakn-categories.Advances in Mathematics, 136(1):39–103, 1998.

Polynomial $2$-monads and delooping Monoidal globular categories as a natural environment for the theory of weakn-categories.Advances in Mathematics, 136(1):39–103, 1998

Reference 2

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Observation d8b7db67-a894-4c21-a849-53cbb2d73adb · outbound

This paper cites The Eckmann–Hilton argument and higher operads.Advances in Mathe- matics, 217(1):334–385, 2008.

Polynomial $2$-monads and delooping The Eckmann–Hilton argument and higher operads.Advances in Mathe- matics, 217(1):334–385, 2008

Reference 3

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Observation de144fe7-d50f-41d9-8e0a-bbbf3ed3dd17 · outbound

This paper cites Homotopy theory for algebras over polynomial monads.

Polynomial $2$-monads and delooping Homotopy theory for algebras over polynomial monads

Reference 4

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Observation cc66d261-168c-4a94-983c-f765109dad64 · outbound

This paper cites Polynomial monads and delooping of mapping spaces.

Polynomial $2$-monads and delooping Polynomial monads and delooping of mapping spaces

Reference 5

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Observation 622dd489-a2a5-4938-a62a-3117c0e19eb9 · outbound

This paper cites Quasi-tame substitudes and the Grothendieck construction.Theory and Applications of Categories, 44(24):676–730, 2025.

Polynomial $2$-monads and delooping Quasi-tame substitudes and the Grothendieck construction.Theory and Applications of Categories, 44(24):676–730, 2025

Reference 6

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Observation a0f660ce-3ab3-43aa-8b72-a20b7918b224 · outbound

This paper cites Model structures on operads and algebras from a global perspective.Tunisian Journal of Mathematics, 8(3):389–412, 2026.

Polynomial $2$-monads and delooping Model structures on operads and algebras from a global perspective.Tunisian Journal of Mathematics, 8(3):389–412, 2026

Reference 7

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Observation 55d5650c-ac75-4d44-addf-261714be1fd2 · outbound

This paper cites Pita factorisation in operadic categories.

Polynomial $2$-monads and delooping Pita factorisation in operadic categories

Reference 8

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source=pdf_text observed=2026-06-29T23:14:50.093340Z digest=sha256:e2094a8c4b7cc4208c425adb0882b5ccaae4fd01c501d4a122684befc008e506

Observation f0b6ca03-f02d-43fa-810a-c7c18477006f · outbound

This paper cites Combinatorial models for real configuration spaces andE n-operads.Con- temporary Mathematics, 202:37–52, 1997.

Polynomial $2$-monads and delooping Combinatorial models for real configuration spaces andE n-operads.Con- temporary Mathematics, 202:37–52, 1997

Reference 9

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Observation c26da9ed-c288-4ffe-b921-7de0c7a0c188 · outbound

This paper cites On the homotopy theory of enriched categories.Quarterly Journal of Mathematics, 64(3):805–846, 2013.

Polynomial $2$-monads and delooping On the homotopy theory of enriched categories.Quarterly Journal of Mathematics, 64(3):805–846, 2013

Reference 10

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Observation 0abbbb44-bbc4-4415-b269-0f19def5bd3f · outbound

This paper cites Spaces of smooth embeddings and configuration categories.Journal of Topology, 11(1):65–143, 2018.

Polynomial $2$-monads and delooping Spaces of smooth embeddings and configuration categories.Journal of Topology, 11(1):65–143, 2018

Reference 11

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Observation 82965885-4aa0-495e-b2f4-701fcbb04ee9 · outbound

This paper cites Soci´ et´ e math´ ematique de France, 2006.

Polynomial $2$-monads and delooping Soci´ et´ e math´ ematique de France, 2006

Reference 12

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Observation 6e5357cd-86d4-4710-9b2b-eeaa8b245cba · outbound

This paper cites Abstract substitution in enriched categories.Journal of Pure and Applied Algebra, 179(1-2):49–63, 2003.

Polynomial $2$-monads and delooping Abstract substitution in enriched categories.Journal of Pure and Applied Algebra, 179(1-2):49–63, 2003

Reference 13

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Observation bf779442-ae6c-4cfe-9031-0045609e88da · outbound

This paper cites Homotopy theory for polynomial 2-monads.

Polynomial $2$-monads and delooping Homotopy theory for polynomial 2-monads

Reference 14

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Observation 0e3d1486-a7b9-4437-804a-853d76289c72 · outbound

This paper cites Cofinal morphism of polynomial monads and double delooping.Theory and Applications of Categories, 45(27):1117–1146, 2026.

Polynomial $2$-monads and delooping Cofinal morphism of polynomial monads and double delooping.Theory and Applications of Categories, 45(27):1117–1146, 2026

Reference 15

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Observation 095c3efc-8617-422e-9748-841ab2d910f8 · outbound

This paper cites Triple delooping for multiplicative hyperoperads.Applied Categorical Structures, 33(5):36, 2025.

Polynomial $2$-monads and delooping Triple delooping for multiplicative hyperoperads.Applied Categorical Structures, 33(5):36, 2025

Reference 16

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Observation 303032b1-6965-4512-960a-b1a77c182250 · outbound

This paper cites Delooping derived mapping spaces of bimodules over an operad.Journal of Homotopy and Related Structures, 14(2):411–453, 2019.

Polynomial $2$-monads and delooping Delooping derived mapping spaces of bimodules over an operad.Journal of Homotopy and Related Structures, 14(2):411–453, 2019

Reference 17

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Observation 9f47ab4e-7166-4f69-a7aa-3a1d208d56fc · outbound

This paper cites Delooping the functor calculus tower.Proceedings of the London Mathematical Society, 124(6):772–853, 2022.

Polynomial $2$-monads and delooping Delooping the functor calculus tower.Proceedings of the London Mathematical Society, 124(6):772–853, 2022

Reference 18

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Observation b3fa66a9-2f34-4e3b-ae41-e68a5bf9cad3 · outbound

This paper cites Long knots and maps between operads.Geometry & Topology, 16(2):919–955, 2012.

Polynomial $2$-monads and delooping Long knots and maps between operads.Geometry & Topology, 16(2):919–955, 2012

Reference 19

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Observation 464b3968-aafc-4de3-a898-2826b71ce240 · outbound

This paper cites Springer, 2009.

Polynomial $2$-monads and delooping Springer, 2009

Reference 20

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Observation 3aa493c0-5852-4030-b7dc-8c9a530ca93b · outbound

This paper cites Number 99.

Polynomial $2$-monads and delooping Number 99

Reference 21

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Observation 232ae8b4-b5fe-4bb9-8601-6a0880f2657c · outbound

This paper cites Springer Science & Business Media, 1998.

Polynomial $2$-monads and delooping Springer Science & Business Media, 1998

Reference 22

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Observation 900177c4-3fe8-4999-8938-b3a8f393f209 · outbound

This paper cites The relative lattice path operad.Algebraic & Geometric Topology, 18(3):1753–1798, 2018.

Polynomial $2$-monads and delooping The relative lattice path operad.Algebraic & Geometric Topology, 18(3):1753–1798, 2018

Reference 23

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Observation 56fb3e0e-6670-41f4-b32b-e3d9dcba4d6b · outbound

This paper cites Every homotopy theory of simplicial algebras admits a proper model.Topology and its Applications, 119(1):65–94, 2002.

Polynomial $2$-monads and delooping Every homotopy theory of simplicial algebras admits a proper model.Topology and its Applications, 119(1):65–94, 2002

Reference 24

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Observation f3bc2951-d078-4e49-b640-5aea0e0ff040 · outbound

This paper cites Operads and knot spaces.Journal of the American Mathematical Society, 19(2):461–486, 2006.

Polynomial $2$-monads and delooping Operads and knot spaces.Journal of the American Mathematical Society, 19(2):461–486, 2006

Reference 25

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Observation 103014d7-29f0-4bea-80f4-526fed4d1693 · outbound

This paper cites Delooping totalization of a multiplicative operad.Journal of Homotopy and Related Structures, 9(2):349–418, 2014.

Polynomial $2$-monads and delooping Delooping totalization of a multiplicative operad.Journal of Homotopy and Related Structures, 9(2):349–418, 2014

Reference 26

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Observation 5ba7ff74-d601-4294-b752-df56f0f2857d · outbound

This paper cites The Swiss-cheese operad.Contemporary Mathematics, 239(365-374):11, 1999.

Polynomial $2$-monads and delooping The Swiss-cheese operad.Contemporary Mathematics, 239(365-374):11, 1999

Reference 27

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Observation 41f32738-e7b6-4142-aa4a-451fdc6143f8 · outbound

This paper cites Factorization systems and double categories.Theory and applications of categories, 41(18):551–592, 2024.

Polynomial $2$-monads and delooping Factorization systems and double categories.Theory and applications of categories, 41(18):551–592, 2024

Reference 28

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Observation 3e12eeb6-05b8-47ba-9324-779befc81f0d · outbound

This paper cites Internal algebra classifiers as codescent objects of crossed internal categories.

Polynomial $2$-monads and delooping Internal algebra classifiers as codescent objects of crossed internal categories

Reference 29

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Observation 257ce6aa-b277-46a5-963c-a9ab3462312e · outbound

This paper cites Operads as polynomial 2-monads.Theory and Applications of Categories, 30:1659–1712, 2015.

Polynomial $2$-monads and delooping Operads as polynomial 2-monads.Theory and Applications of Categories, 30:1659–1712, 2015

Reference 30

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Observation 29a90d21-3e2f-4799-bd43-d3b834954acb · outbound

This paper cites Polynomials in categories with pullbacks.Theory and Applications of Cate- gories, 30(16):533–598, 2015.

Polynomial $2$-monads and delooping Polynomials in categories with pullbacks.Theory and Applications of Cate- gories, 30(16):533–598, 2015

Reference 31

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