Homology and manifolds with corners

2006/11/27 by Edmundo Castillo, Castillo, Edmundo, Rafael Diaz +1
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA

paper · pdf · doi:10.48550/arxiv.math/0611839

16 pages, and 5 figures

arxiv created 2006/11/29 · arxiv updated 2009/12/01

Abstract

We define a model for the homology of manifolds and use it to describe the intersection product on the homology of compact oriented manifolds and to define homological quantum field theories which generalizes the notions of string topology introduced by Chas and Sullivan and homotopy quantum field theories introduced by Turaev.

Related

• Homological Quantum Field Theory
• Geometric Homology
• Topological quantum field theory with corners based on the Kauffman bracket
• A polarized view of string topology
• Notes on string topology