4.1 Article

Fukaya-Seidel category and gauge theory

Journal

JOURNAL OF SYMPLECTIC GEOMETRY
Volume 13, Issue 1, Pages 151-207

Publisher

INT PRESS BOSTON, INC
DOI: 10.4310/JSG.2015.v13.n1.a5

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Funding

  1. German Research Foundation (DFG)

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A new construction of the Fukaya-Seidel category associated with a symplectic Lefschetz fibration is outlined. Applying this construction in an in finite dimensional case, a Fukaya-Seidel-type category is associated with a smooth three-manifold. In this case the construction is based on a five-dimensional gauge theory.

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