40 citations · 109 across the 19 of their papers we have counts for
23 papers
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…
P-adic Gamma classes and overconvergent Frobenius structures for quantum connections
Shaoyun Bai, Daniel Pomerleano, Paul Seidel
Consider the small quantum connection on a monotone symplectic manifold, with p-adic coefficients. We conjecture that this always admits an overconvergent Frobenius structure, whos…
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…
Integrality of mirror maps and arithmetic homological mirror symmetry for Greene--Plesser mirrors
Sheel Ganatra, Andrew Hanlon, Jeff Hicks +2
We prove the `integrality of Taylor coefficients of mirror maps' conjecture for Greene--Plesser mirror pairs as a natural byproduct of an arithmetic refinement of homological mirro…
The quantum connection, Fourier-Laplace transform, and families of A-infinity-categories
Daniel Pomerleano, Paul Seidel
Take a closed monotone symplectic manifold containing a smooth anticanonical divisor. The quantum connection on its cohomology has singularities at zero and infinity (in the quantu…
Coulomb branch algebras via symplectic cohomology
Eduardo Gonzalez, Cheuk Yu Mak, Daniel Pomerleano
Let be a compact symplectic manifold with convex boundary and . Suppose that is equipped with a convex Hamiltonian -action for som…
Affine nil-Hecke algebras and Quantum cohomology
Eduardo González, Cheuk Yu Mak, Dan Pomerleano
Let be a compact, connected Lie group and a maximal torus. Let be a monotone closed symplectic manifold equipped with a Hamiltonian action of . We cons…
Intrinsic mirror symmetry and categorical crepant resolutions
Daniel Pomerleano
The main result of the present paper concerns finiteness properties of Floer theoretic invariants on affine log Calabi-Yau varieties . Namely, we show that: (a) the degree zero…
Symplectic cohomology rings of affine varieties in the topological limit
Sheel Ganatra, Daniel Pomerleano
We construct a multiplicative spectral sequence converging to the symplectic cohomology ring of any affine variety , with first page built out of topological invariants associat…
A Log PSS morphism with applications to Lagrangian embeddings
Sheel Ganatra, Daniel Pomerleano
Let be a smooth projective variety and an ample normal crossings divisor. From topological data associated to the pair , we construct, under assum…
Lagrangian sections on mirrors of toric Calabi-Yau 3-folds
Kwokwai Chan, Daniel Pomerleano, Kazushi Ueda
We construct Lagrangian sections of a Lagrangian torus fibration on a 3-dimensional conic bundle, which are SYZ dual to holomorphic line bundles over the mirror toric Calabi-Yau 3-…
Equivariant Hodge theory and noncommutative geometry
Daniel Halpern-Leistner, Daniel Pomerleano
We develop a version of Hodge theory for a large class of smooth formally proper quotient stacks analogous to Hodge theory for smooth projective schemes. We show that the non…
Lagrangian torus fibrations and homological mirror symmetry for the conifold
Kwokwai Chan, Daniel Pomerleano, Kazushi Ueda
We discuss homological mirror symmetry for the conifold from the point of view of the Strominger-Yau-Zaslow conjecture.
Curved String Topology and Tangential Fukaya Categories II
Daniel Pomerleano
A sequel to arXiv:1111.1460, this paper elaborates on some of the themes in the above paper. Connections to Symplectic Field Theory (SFT) and mirror symmetry are explored.
Curved String Topology and Tangential Fukaya Categories
Daniel Pomerleano
Given a simply connected manifold M such that its cochain algebra, C^\star(M), is a pure Sullivan dga, this paper considers curved deformations of the algebra C_\star(ΩM) and consi…
Global matrix factorizations
Kevin H. Lin, Daniel Pomerleano
We study matrix factorization and curved module categories for Landau-Ginzburg models (X,W) with X a smooth variety, extending parts of the work of Dyckerhoff. Following Positselsk…
The Four Vertex Theorem and its Converse
Dennis DeTurck, Herman Gluck, Daniel Pomerleano +1
The Four Vertex Theorem, one of the earliest results in global differential geometry, says that a simple closed curve in the plane, other than a circle, must have at least four "ve…