Quiver Hecke algebras from Floer homology in Couloumb branches
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914827786518528 |
|---|---|
| author | Aganagic, Mina Danilenko, Ivan Li, Yixuan Shende, Vivek Zhou, Peng |
| author_facet | Aganagic, Mina Danilenko, Ivan Li, Yixuan Shende, Vivek Zhou, Peng |
| contents | Homology theories categorifying quantum group link invariants are known to be governed by the representation theory of quiver Hecke algebras, also called KLRW algebras. Here we show that certain cylindrical KLRW algebras, relevant in particular for cylindrical generalizations of link homology theories, can be realized by Lagrangian Floer homology in multiplicative Coulomb branches. This confirms a homological mirror symmetry prediction of the first author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04258 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quiver Hecke algebras from Floer homology in Couloumb branches Aganagic, Mina Danilenko, Ivan Li, Yixuan Shende, Vivek Zhou, Peng Symplectic Geometry High Energy Physics - Theory Geometric Topology Representation Theory Homology theories categorifying quantum group link invariants are known to be governed by the representation theory of quiver Hecke algebras, also called KLRW algebras. Here we show that certain cylindrical KLRW algebras, relevant in particular for cylindrical generalizations of link homology theories, can be realized by Lagrangian Floer homology in multiplicative Coulomb branches. This confirms a homological mirror symmetry prediction of the first author. |
| title | Quiver Hecke algebras from Floer homology in Couloumb branches |
| topic | Symplectic Geometry High Energy Physics - Theory Geometric Topology Representation Theory |
| url | https://arxiv.org/abs/2406.04258 |