A_\infty-subalgebras and natural transformations
K-Theory and Homology
2008-04-24 v2 Rings and Algebras
Symplectic Geometry
Abstract
The paper explores some algebraic constructions arising in the theory of Lefschetz fibrations. Specifically, it covers in a fair amount of detail the algebraic issues outlined in ``Symplectic homology as Hochschild homology'' (math.SG/0609037). We also explain how the theory works when applied to a simple example, namely the Landau-Ginzburg mirror of P^2. Version 2: revised, many technical assumptions dropped, statement of one of the main results improved by using dg quotients. I changed the title accordingly.
Cite
@article{arxiv.math/0701778,
title = {A_\infty-subalgebras and natural transformations},
author = {Paul Seidel},
journal= {arXiv preprint arXiv:math/0701778},
year = {2008}
}