{"total":16,"items":[{"citing_arxiv_id":"2605.22560","ref_index":90,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Shading A-polynomials via huge representations of $U_q(\\mathfrak{su}_N)$","primary_cat":"hep-th","submitted_at":"2026-05-21T14:42:19+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Authors propose shaded A-polynomials A_a(ℓ_b, m_c) for SU(N) via CG chords from huge representations of U_q(su_N) in the classical limit, with examples for knots 3_1, 4_1, 5_1 in su_3.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.22474","ref_index":24,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Ishii's conjecture and Bridgeland stability conditions for dihedral reflection groups","primary_cat":"math.AG","submitted_at":"2026-05-21T13:34:50+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"New proof of Ishii's conjecture for dihedral reflection groups via Bridgeland stability conditions on root stacks of maximal resolutions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.19552","ref_index":11,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Large Order Enumerative Geometry, Black Holes and Black Rings","primary_cat":"hep-th","submitted_at":"2026-05-19T08:51:45+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Numerical study of high-genus GV invariants reveals 5D indices matching BMPV black-hole entropy below a critical angular momentum and black-ring dominance above, with additional phase transitions and growth laws in PT and DT invariants.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.03887","ref_index":82,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Classical correlation functions at strong coupling from hexagonalization","primary_cat":"hep-th","submitted_at":"2026-05-05T15:46:08+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"In the classical strong-coupling regime, half-BPS correlation functions in planar N=4 SYM exponentiate under the hexagon formalism and are governed by TBA equations structurally equivalent to Gaiotto-Moore-Neitzke equations, enabling a chi-system for both polygonal and closed geometries.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"and establishing their equivalence becomes increasingly cumbersome for large quivers. A more invariant formulation is obtained by following the framework of Gaiotto, Moore, and Neitzke, developed for the TBA equations arising from the Hitchin-system description of 4DN= 2 theories [53]. The emphasis is on the discontinuities of the TBA equations, which induce the action of Kontsevich-Soibelman (KS) transformations [82] on a set ofχ- functions serving as Fock-Goncharov coordinates on the Hitchin moduli space. In the GMN framework, these transformations occur across rays encoding the spectrum of BPS states in a given chamber-i.e. a region of the parameter space where the spectrum is constant. While the spectrum itself changes between chambers due to wall-crossing, the total discontinuity"},{"citing_arxiv_id":"2605.01455","ref_index":14,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Defect Triangles and Intersection-Space Hodge Atom Shadows for Calabi--Yau Conifolds","primary_cat":"math.AG","submitted_at":"2026-05-02T14:05:17+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"A projection of the variation morphism defines an intersection-space Hodge atom shadow package for Calabi-Yau conifolds, yielding a middle-degree IC-intersection-space defect of rank 202 for the 125-node quintic.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.19731","ref_index":18,"ref_count":2,"confidence":0.98,"is_internal_anchor":true,"paper_title":"The non-perturbative topological string: from resurgence to wall-crossing of DT invariants","primary_cat":"hep-th","submitted_at":"2026-04-21T17:52:41+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Links resurgence of the topological string partition function to DT wall-crossing via an isomorphism of alien derivative algebras to the Kontsevich-Soibelman Lie algebra, with Borel singularities matched to specific DT invariants.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"the original perturbative series) at arbitrary points of their Borel plane, vs. merely at multiples of the singularity to which they are associated. To study the question of wall-crossing, we compute the commutator of two alien derivatives using the presentation as a differential operator, and show that they satisfy the Kontsevich-Soibelmann Lie algebra relation [18]. This implies that the identification of Stokes constants and Donaldson-Thomas invariants is precisely what is needed to guarantee that the Stokes automorphism across a sector in the Borel plane remains constant under variations of moduli which do not lead to singularities entering or leaving the sector. In previous work, relations between resurgence of the topological string partition function and Kontsevich-Soibelman wall-crossing were"},{"citing_arxiv_id":"2604.17722","ref_index":7,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"A Deligne-Malgrange Riemann-Hilbert correspondence for closed 1-forms","primary_cat":"math.AG","submitted_at":"2026-04-20T02:15:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Establishes a Deligne-Malgrange Riemann-Hilbert correspondence for closed 1-forms and a variant comparison of isomorphisms theorem for simple algebraic 1-forms on complex curves.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.05664","ref_index":32,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The Pandharipande-Thomas rationality conjecture for superpositive curve classes on projective complex 3-manifolds","primary_cat":"math.AG","submitted_at":"2026-04-07T10:05:56+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Proves that generating functions of Pandharipande-Thomas invariants with descendent insertions are rational with controlled poles for superpositive curve classes on projective complex 3-manifolds.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"invariants, which deal with the Ext 3(F, F) terms in different ways: (i) IfXis a Calabi-Yau 3-fold then Ext 3(F, F) ∼= Hom(F, F) ∗ by Serre dual- ity. IfM st α (τ) =M ss α (τ) this gives canonical isomorphisms Ext3(F, F) ∼= C for all [F]∈ M ss α (τ), and the Ext 3(F, F) terms can be deleted from the obstruction theory. See Thomas [52], Joyce-Song [29], and Kontsevich- Soibelman [32] for more details. (ii) IfXis any smooth projective 3-fold and we consider moduli stacks of rank 1 torsion-free sheavesFwith fixed determinant detF=O X, we can define the obstruction theory using trace-free Ext groups Ext i(F, F) 0, and Ext 3(F, F) 0 = 0 in this case. See Maulik-Nekrasov-Okounkov- Pandharipande [34,35] for more. (iii) IfXis a Fano 3-fold and dimα >0, or more generally ifX, αsatisfy some"},{"citing_arxiv_id":"2603.23033","ref_index":86,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Hyper-K\\\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories","primary_cat":"math.AG","submitted_at":"2026-03-24T10:11:17+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":1.0,"formal_verification":"none","one_line_summary":"Lecture notes summarizing recent progress on hyper-Kähler varieties via Lagrangian fibrations, atomic sheaves, and derived categories.","context_count":1,"top_context_role":"background","top_context_polarity":"support","context_text":"First of all, we observe that an elementary 7The categoryP(ϕ) is an abelian category, once we add the trivial object. The support property implies that it is Artinian and Noetherian; stable objects are the simple objects in this category. See [146, Tag 0FCD] for the basic definitions regarding abelian categories and the Jordan-H¨ older property. The support property was introduced in [86], complementing the original definition of locally finite stability condition in [29, Definition 5.7] (see also [12, Proposition B.4]). HYPER-K¨AHLER VARIETIES 11 application of (3) and Serre duality shows that ifE∈M st S,σ(v), thenv 2 ≥ −2: (4)v 2 =−χ S(E, E) =−hom S(E, E)| {z } =1 + ext1 S(E, E)| {z } ≥0 −ext 2 S(E, E)| {z } =homS(E,E) ≥ −2. The key point is that a converse holds (see, e."},{"citing_arxiv_id":"2601.18636","ref_index":9,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras","primary_cat":"math.QA","submitted_at":"2026-01-26T16:09:21+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2511.07521","ref_index":22,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Macdonald Index From Refined Kontsevich-Soibelman Operator","primary_cat":"hep-th","submitted_at":"2025-11-10T19:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"A refined Kontsevich-Soibelman operator is conjectured to have trace equal to the Macdonald index for special 4d N=2 SCFTs, yielding closed forms for (A1, g) Argyres-Douglas theories.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2502.01323","ref_index":66,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Quiver Yangians as Coulomb branch algebras","primary_cat":"hep-th","submitted_at":"2025-02-03T12:54:25+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2412.07680","ref_index":51,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"BPS Dendroscopy on Local $\\mathbb{P}^1\\times \\mathbb{P}^1$","primary_cat":"hep-th","submitted_at":"2024-12-10T17:10:20+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Construction of the scattering diagram for BPS indices on local P1 x P1 and sketch of the Split Attractor Flow Tree Conjecture for restricted central charge phase.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2412.03588","ref_index":241,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Spectral Networks: Bridging higher-rank Teichm\\\"uller theory and BPS states","primary_cat":"math-ph","submitted_at":"2024-11-27T10:11:29+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":0.0,"formal_verification":"none","one_line_summary":"A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2410.01037","ref_index":41,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"$g$-vectors and $DT$-$F$-polynomials for Grassmannians","primary_cat":"math.RT","submitted_at":"2024-10-01T19:54:52+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Using Hom-infinite Frobenius categorification of the Grassmannian, the authors determine g-vectors of Plücker coordinates for the triangular seed and express DT F-polynomials in terms of 3D Young diagrams, giving a new proof of Weng's theorem.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2309.12046","ref_index":68,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Non-Perturbative Real Topological Strings","primary_cat":"hep-th","submitted_at":"2023-09-21T13:15:52+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Extends operator formalism of closed topological strings to derive all-order trans-series solutions for real topological strings, with disk invariants as Stokes constants and numerical checks on local P2.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}