Noncommutative Topological Quantum Field Theory-Noncommutative Floer Homology
High Energy Physics - Theory
2007-05-23 v1 Geometric Topology
Quantum Algebra
Abstract
We present some ideas for a possible Noncommutative Floer Homology. The geometric motivation comes from an attempt to build a theory which applies to practically every 3-manifold (closed, oriented and connected) and not only to homology 3-spheres. There is also a physical motivation: one would like to construct a noncommutative topological quantum field theory. The two motivations are closely related since in the commutative case at least, Floer Homology Groups are part of a certain (3+1)-dim Topological Quantum Field Theory.
Keywords
Cite
@article{arxiv.hep-th/0510005,
title = {Noncommutative Topological Quantum Field Theory-Noncommutative Floer Homology},
author = {I. P. Zois},
journal= {arXiv preprint arXiv:hep-th/0510005},
year = {2007}
}
Comments
20 pages, tex