English

Topological A-models on seamed Riemann surfaces

High Energy Physics - Theory 2007-05-23 v1

Abstract

We define a class of topological A-models on a collection of Riemann surfaces, whose boundaries are sewn together along the seams. The target spaces for the Riemann surfaces are the Grassmanians Gr_{m_i,n} with the common value of n, and the boundary conditions at the seams demand that the spaces C^{m_i}\subset C^n present the orthogonal decomposition of C^n. The whole construction is a QFT interpretation of a part of Khovanov's categorification of the sl(3) HOMFLY polynomial.

Keywords

Cite

@article{arxiv.hep-th/0305205,
  title  = {Topological A-models on seamed Riemann surfaces},
  author = {L. Rozansky},
  journal= {arXiv preprint arXiv:hep-th/0305205},
  year   = {2007}
}

Comments

12 pages

R2 v1 2026-07-22T15:17:19.666Z