2008/06/17 by Yves Felix, Felix, Yves, Jean-claude Thomas +1
Mathematics · #17A65 #17B55 #54N45 #55N33 #55P35 #81T30 #Algebraic Topology (math.AT) #FOS: Mathematics #Quantum Algebra (math.QA) #math.AT #math.QA #msc:17A65 #msc:17B55 #msc:54N45 #msc:55N33 #msc:55P35 #msc:81T30
paper · pdf · doi:10.48550/arxiv.0806.2828
30 pages and 2 figures
arxiv created 2008/06/17 · arxiv updated 2009/12/01
The purpose of this paper is to describe a general and simple setting for defining (g,p+q)-string operations on a Poincaré duality space and more generally on a Gorenstein space. Gorenstein spaces include Poincaré duality spaces as well as classifying spaces or homotopy quotients of connected Lie groups. Our presentation implies directly the homotopy invariance of each (g,p+q)-string operation as well as it leads to explicit computations.