A closed formula for the evaluation of foams
| Autor: | Louis-Hadrien Robert, Emmanuel Wagner |
|---|---|
| Přispěvatelé: | Section de mathématiques [Genève], Université de Genève = University of Geneva (UNIGE), Institut de Mathématiques de Bourgogne [Dijon] (IMB), Université de Bourgogne (UB)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Centre National de la Recherche Scientifique (CNRS), Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Université de Genève (UNIGE), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
coherent sheaves khovanov-rozansky homology 01 natural sciences Mathematics::Algebraic Topology link homologies Mathematics::K-Theory and Homology Mathematics::Quantum Algebra [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT] 0103 physical sciences [MATH]Mathematics [math] 010306 general physics Mathematics::Symplectic Geometry Mathematical Physics Mathematics webs model 010308 nuclear & particles physics modules matrix factorizations categories Foams Mathematics::Geometric Topology TQFT knot floer homology holomorphic disks Geometry and Topology invariants tangle |
| Zdroj: | Quantum Topology Quantum Topology, 2020, 11 (3), pp.411-487. ⟨10.4171/QT/139⟩ Quantum Topology, European Mathematical Society Publishing House, 2020, 11 (3), pp.411-487. ⟨10.4171/QT/139⟩ |
| ISSN: | 1663-487X 1664-073X |
| DOI: | 10.4171/QT/139⟩ |
| Popis: | International audience; We give a purely combinatorial formula for evaluating closed, decorated foams. Our evaluation gives an integral polynomial and is directly connected to an integral, equivariant version of colored Khovanov-Rozansky link homology categorifying the sl(N) link polynomial. We also provide connections to the equivariant cohomology rings of partial flag varieties. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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