1994/01/26 by Sergey Piunikhin, Piunikhin, Sergey
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.AG
paper · pdf · doi:10.48550/arxiv.hep-th/9401130
62 pages
arxiv created 1994/05/25 · arxiv updated 2009/11/30
The action of the total cohomology H^*(M) of the almost Kahler manifold M on its Floer cohomology, int roduced originally by Floer, gives a new ring structure on H^*(M). We prove that the total cohomology space H^* (M), provided with this new ring structure, is isomorphic to the quantum cohomology ring. As a special case, we prove the the formula for the Floer cohomology ring of the complex grassmanians conjectured by Vafa and Witten.