8 citations · 16 across the 8 of their papers we have counts for
8 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.
Anomalous open orbits in Hofstadter spectrum of Chern insulator
Haijiao Ji, Noah F. Q. Yuan, Hua Jiang +2
The nontrivial band topology can influence the Hofstadter spectrum. We investigate the Hofstadter spectrum for various models of Chern insulators under a rational flux $\frac{ϕ_{0}…
Variation of GIT and Variation of Lagrangian Skeletons II: Quasi-Symmetric Case
Jesse Huang, Peng Zhou
Consider acting on satisfying certain 'quasi-symmetric' condition which produces a class of toric Calabi-Yau GIT quotient stacks. Using subcategor…
Interface asymptotics of partial Bergman kernels on -symmetric Kaehler manifolds
Steve Zelditch, Peng Zhou
This article is concerned with asymptotics of equivariant Bergman kernels and partial Bergman kernels for polarized projective Kahler manifolds invariant under a Hamiltonian holomo…