We consider a version of the relative Fukaya category for anticanonical Lefschetz pencils. There are direct connections between the behaviour of this category and enumerative geometry: some of these are results announced here, others remain conjectural. Among the conjectural goals is a formula for the dependence of the Fukaya category of Calabi-Yau hypersurfaces on the Novikov (area) parameter
Motivated by the relationship between numerical Grothendieck groups induced by the embedding of a sm...
We discuss D-branes of the topological A-model (A-branes), which are believed to be closely related ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.This electronic v...
August 21, 2011 Author ManuscriptWe consider the Fukaya-Floer A∞-structures arising from a basis of ...
We use Lefschetz pencil methods to derive structural results about Fukaya categories of Calabi-Yau ...
We consider ℂ*-actions on Fukaya categories of exact symplectic manifolds. Such actions can be const...
This is an informal (and mostly conjectural) discussion of some aspects of Fukaya categories. We sta...
We (re)consider how the Fukaya category of a Lefschetz fibration is related to that of the fiber. T...
We develop a set of tools for doing computations in and of (partially) wrapped Fukaya categories. In...
A new construction of the Fukaya–Seidel category associated with a symplectic Lefschetz fibration is...
We study the Rouquier dimension of wrapped Fukaya categories of Liouville manifolds and pairs, and a...
We prove that the Fukaya-Seidel categories of a certain family of Lefschetz fibrations on $\mathbb{C...
Let $Ham (M,\omega ) $ denote the Frechet Lie group of Hamiltonian symplectomorphisms of a monotone ...
This is partly a survey and partly a speculative article, concerning a particular question about Fu...
AbstractWe construct the Fukaya category of a closed surface equipped with an area form using only e...
Motivated by the relationship between numerical Grothendieck groups induced by the embedding of a sm...
We discuss D-branes of the topological A-model (A-branes), which are believed to be closely related ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.This electronic v...
August 21, 2011 Author ManuscriptWe consider the Fukaya-Floer A∞-structures arising from a basis of ...
We use Lefschetz pencil methods to derive structural results about Fukaya categories of Calabi-Yau ...
We consider ℂ*-actions on Fukaya categories of exact symplectic manifolds. Such actions can be const...
This is an informal (and mostly conjectural) discussion of some aspects of Fukaya categories. We sta...
We (re)consider how the Fukaya category of a Lefschetz fibration is related to that of the fiber. T...
We develop a set of tools for doing computations in and of (partially) wrapped Fukaya categories. In...
A new construction of the Fukaya–Seidel category associated with a symplectic Lefschetz fibration is...
We study the Rouquier dimension of wrapped Fukaya categories of Liouville manifolds and pairs, and a...
We prove that the Fukaya-Seidel categories of a certain family of Lefschetz fibrations on $\mathbb{C...
Let $Ham (M,\omega ) $ denote the Frechet Lie group of Hamiltonian symplectomorphisms of a monotone ...
This is partly a survey and partly a speculative article, concerning a particular question about Fu...
AbstractWe construct the Fukaya category of a closed surface equipped with an area form using only e...
Motivated by the relationship between numerical Grothendieck groups induced by the embedding of a sm...
We discuss D-branes of the topological A-model (A-branes), which are believed to be closely related ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.This electronic v...
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