5 papers
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…
Infinite-dimensional Lie bialgebras via affinization of perm bialgebras and pre-Lie bialgebras
Yuanchang Lin, Peng Zhou, Chengming Bai
It is known that the operads of perm algebras and pre-Lie algebras are the Koszul dual each other and hence there is a Lie algebra structure on the tensor product of a perm algebra…
Bernstein-Sato ideals
Nero Budur, Robin van der Veer, Lei Wu +1
In this paper, we review several results on the zero loci of Bernstein-Sato ideals related to singularities of hypersurfaces. This is an exposition for the Frontiers of Science Awa…
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…
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.