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A_\infty-subalgebras and natural transformations

K理论与同调 2008-04-24 v2 环与代数 辛几何

摘要

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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引用

@article{arxiv.math/0701778,
  title  = {A_\infty-subalgebras and natural transformations},
  author = {Paul Seidel},
  journal= {arXiv preprint arXiv:math/0701778},
  year   = {2008}
}