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ZERO-POINTED MANIFOLDS

Part of: Topological manifolds Generalized manifolds

Published online by Cambridge University Press:  02 July 2019

David Ayala  and
John Francis
David Ayala
Affiliation:
Department of Mathematics, Montana State University, Bozeman, MT59717, USA (david.ayala@montana.edu)
John Francis
Affiliation:
Department of Mathematics, Northwestern University, Evanston, IL60208-2370, USA (jnkf@northwestern.edu)
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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.

Keywords

Koszul dualityAtiyah dualityfactorization algebras𝓔n-algebrasfactorization homologytopological chiral homologylittle n-disks operad∞-categories

MSC classification

Primary: 57P05: Local properties of generalized manifolds
Secondary: 57N80: Stratifications 57N65: Algebraic topology of manifolds
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 20 , Issue 3 , May 2021 , pp. 785 - 858
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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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