40 citations · 44 across the 5 of their papers we have counts for
13 papers · 1 filter
The quantum connection and its mod p reduction
Dan Pomerleano, Paul Seidel
Recent progress on the structure of the quantum connection for monotone symplectic manifolds has used two approaches, which share the common feature of reducing to mod coeffici…
Arithmetic geometry of quantum connections on Calabi-Yau -folds
Shaoyun Bai, Jae Hee Lee, Daniel Pomerleano
Fix a prime . Working over , we show that the quantum connection of any closed Calabi-Yau threefold gives rise to a Fontaine-Laffaile module when restricted to…
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…