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 Amodel. 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:hepth/9310153
 Bibcode:
 1995CMaPh.173...77S
 Keywords:

 Neural Network;
 Statistical Physic;
 Correlation Function;
 Complex System;
 Nonlinear Dynamics;
 High Energy Physics  Theory
 EPrint:
 28 pages, HUTP93/A027