Zero-pointed manifolds

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 ${\mathcal{E}}_n$-algebra.

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

References in corpus (1)

• Higher Topos Theory

Cited by in corpus (7)

• Higher enveloping algebras
• Factorization homology of stratified spaces
• Fibrations of $\infty$-categories
• The cobordism hypothesis
• Derived Koszul duality and TQ-homology completion of structured ring spectra
• Stable splitting of mapping spaces via nonabelian Poincaré duality
• A proof of the Dold$-$Thom theorem via factorization homology