Zero-pointed manifolds

2014/09/09 by David Ayala, Ayala, David, John Francis +1
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #math.AT #math.GT

paper · pdf · doi:10.48550/arxiv.1409.2857

58 pages, accepted by J. Inst. Math. Jussieu

arxiv created 2019/05/14 · arxiv updated 2019/05/15

Abstract

We formulate a theory of pointed manifolds, accommodating both embeddings and Pontryagin-Thom collapse maps, so as to present a common generalization of Poincaré duality in topology and Koszul duality in E_n-algebra.

Related

• Nonabelian Poincare duality after stabilizing
• One point compactifications of configuration spaces and the self duality of the little disks operad
• The topological proof of the Poincare conjecture
• Poincaré/Koszul duality
• A parametrized Pontryagin--Thom theorem