Brane Topological Field Theories and Hurwitz numbers for CW-complexes
Geometric Topology
2009-07-18 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We expand Topological Field Theory on some special CW-complexes (brane complexes). This Brane Topological Field Theory one-to-one corresponds to infinite dimensional Frobenius Algebras, graduated by CW-complexes of lesser dimension. We define general and regular Hurwitz numbers of brane complexes and prove that they generate Brane Topological Field Theories. For general Hurwitz numbers corresponding algebra is an algebra of coverings of lesser dimension. For regular Hurwitz numbers the Frobenius algebra is an algebra of families of subgroups of finite groups.
Keywords
Cite
@article{arxiv.0904.0239,
title = {Brane Topological Field Theories and Hurwitz numbers for CW-complexes},
author = {Sergey M. Natanzon},
journal= {arXiv preprint arXiv:0904.0239},
year = {2009}
}
Comments
New title