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math.SG2026
Topological algebra of symplectic geometry of symmetric powers
Vivek Shende, Peng Zhou
To a noncompact orientable surface with no closed boundary, we associate the sum of Fukaya categories of (Liouville sectors associated to) its symmetric powers. We construct sector…
math.SG2024
Quiver Hecke algebras from Floer homology in Couloumb branches
Mina Aganagic, Ivan Danilenko, Yixuan Li +2
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 sho…
math.SG2024
The Hamiltonian reduction of hypertoric mirror symmetry
Michael McBreen, Vivek Shende, Peng Zhou
We give a `Fukaya category commutes with reduction' theorem for the Hamiltonian torus action on a multiplicative hypertoric variety.