Advances in Theoretical and Mathematical Physics

Volume 11 (2007)

Number 2

Topological Landau-Ginzburg models on the world-sheet foam

Pages: 233 – 259

DOI: http://dx.doi.org/10.4310/ATMP.2007.v11.n2.a2

Authors

Mikhail Khovanov

Lev Rozansky

Abstract

We define topological Landau-Ginzburg models on a world-sheet foam, that is, on a collection of 2-dimensional surfaces whose boundaries are sewn together along the edges of a graph. We use the matrix factorizations in order to formulate the boundary conditions at these edges and then produce a formula for the correlators. Finally, we present the gluing formulas, which correspond to various ways in which the pieces of a world-sheet foam can be joined together.

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