40 citations · 109 across the 19 of their papers we have counts for
6 papers · 1 filter
Integral Kirwan Surjectivity
Daniel Pomerleano, Constantin Teleman
We refine Kirwan's surjectivity and formality theorems for a Hamiltonian G-action on a compact symplectic manifold M. For a regular value of the moment map, we show that the Kirwan…
Symplectic cohomology relative to a smooth anticanonical divisor
Daniel Pomerleano, Paul Seidel
For a monotone symplectic manifold and a smooth anticanonical divisor, there is a formal deformation of the symplectic cohomology of the divisor complement, defined by allowing Flo…
Cohomological splitting over rationally connected bases
Shaoyun Bai, Daniel Pomerleano, Guangbo Xu
We prove a cohomological splitting result for Hamiltonian fibrations over enumeratively rationally connected symplectic manifolds As a key application, we prove that the cohomology…
Homological mirror symmetry for Batyrev mirror pairs
Sheel Ganatra, Andrew Hanlon, Jeff Hicks +2
We prove Kontsevich's homological mirror symmetry conjecture for a large class of mirror pairs of Calabi--Yau hypersurfaces in toric varieties. These mirror pairs were constructed…
Quantization commutes with reduction again: the quantum GIT conjecture I
Daniel Pomerleano, Constantin Teleman
For a compact monotone symplectic manifold with Hamiltonian action of a compact Lie group and smooth symplectic reduction, we relate its gauged -dimensional -model to…
Equivariant formality in complex-oriented theories
Shaoyun Bai, Daniel Pomerleano
Let be a product of unitary groups and let be a compact symplectic manifold with Hamiltonian -action. We prove an equivariant formality result for any complex-orient…