Physics and geometry of knots-quivers correspondence
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Publication:2006395
DOI10.1007/s00220-020-03840-yzbMath1455.57016arXiv1811.03110OpenAlexW3087371143MaRDI QIDQ2006395
Piotr Kucharski, Tobias Ekholm, Pietro Longhi
Publication date: 9 October 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.03110
colored HOMFLY polynomialresolved conifoldopen Gromov-Witten invariantslarge \(N\) dualityBPS vortex spectrumChern-Simons matter theoryknot quiverquiver partition functionrefined Gromov-Witten partition function
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) (81T35) Knot polynomials (57K14)
Related Items (19)
Branches, quivers, and ideals for knot complements ⋮ Revisiting the Melvin-Morton-Rozansky expansion, or there and back again ⋮ 3d \(\mathcal{N} = 2\) theories and plumbing graphs: adding matter, gauging, and new dualities ⋮ Mini-workshop: Quantization of complex symplectic varieties. Abstracts from the mini-workshop held October 2--8, 2022 ⋮ Quiver diagonalization and open BPS states ⋮ New structures for colored HOMFLY-PT invariants ⋮ 3-manifolds and VOA characters ⋮ Knot homologies and generalized quiver partition functions ⋮ Stable maps to Looijenga pairs ⋮ Nahm sums, quiver a-polynomials and topological recursion ⋮ Stable maps to Looijenga pairs: orbifold examples ⋮ Topological strings, strips and quivers ⋮ Blocks and vortices in the 3d ADHM quiver gauge theory ⋮ Tangle addition and the knots‐quivers correspondence ⋮ The colored Jones polynomials as vortex partition functions ⋮ Exploring 5d BPS spectra with exponential networks ⋮ \({\widehat{Z}}\) at large \(N\): from curve counts to quantum modularity ⋮ Integrality structures in topological strings and quantum 2-functions ⋮ 3d \(\mathcal{N} = 2\) brane webs and quiver matrices
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