157 citations · 685 across the 44 of their papers we have counts for
50 papers
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…
Fukaya A_\infty-structures associated to Lefschetz fibrations. VIII
Paul Seidel
We use Lefschetz pencil methods to derive structural results about Fukaya categories of Calabi-Yau hypersurfaces; in particular, concerning their dependence on the Novikov paramete…
Covariant constancy of quantum Steenrod operations
Paul Seidel, Nicholas Wilkins
We prove a relationship between quantum Steenrod operations and the quantum connection. In particular there are operations extending the quantum Steenrod power operations that, whe…
Fukaya A_\infty-structures associated to Lefschetz fibrations. V
Paul Seidel
We (re)consider how the Fukaya category of a Lefschetz fibration is related to that of the fibre. The distinguishing feature of the approach here is a more direct identification of…
Formal groups and quantum cohomology
Paul Seidel
We use chain level genus zero Gromov-Witten theory to associate to any closed monotone symplectic manifold a formal group (loosely interpreted), whose Lie algebra is the odd degree…
Fukaya A_\infty-structures associated to Lefschetz fibrations. VI
Paul Seidel
To a symplectic Lefschetz pencil on a monotone symplectic manifold, we associate an algebraic structure, which is a pencil of categories in the sense of noncommutative geometry. On…