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ZERO-POINTED MANIFOLDS

Published online by Cambridge University Press:  02 July 2019

David Ayala
Affiliation:
Department of Mathematics, Montana State University, Bozeman, MT 59717, USA (david.ayala@montana.edu)
John Francis
Affiliation:
Department of Mathematics, Northwestern University, Evanston, IL 60208-2370, USA (jnkf@northwestern.edu)
Corresponding

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.

Type
Research Article
Copyright
© Cambridge University Press 2019

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Footnotes

DA was partially supported by ERC adv.grant no.228082, and by the National Science Foundation under Award 0902639 and Award 1507704. JF was supported by the National Science Foundation under Award 1207758 and Award 1508040.

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ZERO-POINTED MANIFOLDS
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