ZERO-POINTED MANIFOLDS

David Ayala; John Francis

doi:10.1017/S1474748019000343

ZERO-POINTED MANIFOLDS

David Ayala, John Francis

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 -algebra.

Original language	English (US)
Pages (from-to)	785-858
Number of pages	74
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	20
Issue number	3
DOIs	https://doi.org/10.1017/S1474748019000343
State	Published - May 2021

Keywords

Atiyah duality
Koszul duality
factorization algebras
factorization homology
little n-disks operad
n -algebras
topological chiral homology
∞-categories

ASJC Scopus subject areas

Mathematics(all)

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10.1017/S1474748019000343

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title = "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 Poincar{\'e} duality in topology and Koszul duality in -algebra. ",

keywords = "Atiyah duality, Koszul duality, factorization algebras, factorization homology, little n-disks operad, n -algebras, topological chiral homology, ∞-categories",

author = "David Ayala and John Francis",

note = "Funding Information: 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. Publisher Copyright: {\textcopyright} 2021 Cambridge University Press. All rights reserved.",

year = "2021",

month = may,

doi = "10.1017/S1474748019000343",

language = "English (US)",

volume = "20",

pages = "785--858",

journal = "Journal of the Institute of Mathematics of Jussieu",

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publisher = "Cambridge University Press",

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T1 - ZERO-POINTED MANIFOLDS

AU - Ayala, David

AU - Francis, John

N1 - Funding Information: 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. Publisher Copyright: © 2021 Cambridge University Press. All rights reserved.

PY - 2021/5

Y1 - 2021/5

N2 - 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 -algebra.

AB - 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 -algebra.

KW - Atiyah duality

KW - Koszul duality

KW - factorization algebras

KW - factorization homology

KW - little n-disks operad

KW - n -algebras

KW - topological chiral homology

KW - ∞-categories

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M3 - Article

AN - SCOPUS:85068371434

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JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

IS - 3

ER -

ZERO-POINTED MANIFOLDS

Abstract

Keywords

ASJC Scopus subject areas

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