On equivalence of Floer's and quantum cohomology
Abstract
We show that the Floer cohomology and quantum cohomology rings of the almost Kähler manifoldM, both defined over the Novikov ring of the loop space ℒM, are isomorphic. We do it using a BRST trivial deformation of the topological A-model. The relevant aspect of noncompactness of the moduli of pseudoholomorphic instantons is discussed. It is shown nonperturbatively that any BRST trivial deformation of A model which does not change the dimensions of BRST cohomology does not change the topological correlation functions either.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- October 1995
- DOI:
- 10.1007/BF02100182
- arXiv:
- arXiv:hep-th/9310153
- Bibcode:
- 1995CMaPh.173...77S
- Keywords:
-
- Neural Network;
- Statistical Physic;
- Correlation Function;
- Complex System;
- Nonlinear Dynamics;
- High Energy Physics - Theory
- E-Print:
- 28 pages, HUTP-93/A027