A_\infty-subalgebras and natural transformations

Details A_\infty-subalgebras and natural transformations A_\infty-subalgebras and natural transformations

2007-01-26

arxiv.org/abs/math/0701778v2

Mathematics

K-Theory and Homology

Scientific paper

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.

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