ZERO-POINTED MANIFOLDS

被引：5

作者：

Ayala, David ^{[1
]}

Francis, John ^{[2
]}

机构：

[1] Montana State Univ, Dept Math, Bozeman, MT 59717 USA

[2] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2021年 / 20卷 / 03期

基金：

美国国家科学基金会;

关键词：

Koszul duality; Atiyah duality; factorization algebras; epsilon(n)-algebras; factorization homology; topological chiral homology; little n-disks operad; infinity-categories; FACTORIZATION HOMOLOGY; CONFIGURATION-SPACES; DECOMPOSITION; THEOREM;

D O I：

10.1017/S1474748019000343

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：785 / 858

页数：74

共 39 条

[1]

[Anonymous], Higher algebra

[2]

[Anonymous], 2010, The Many Facets of Geometry. A Tribute to Nigel Hitchin

[3]

[Anonymous], 1978, THESIS U CHICAGO

[4] Poincare/Koszul Duality [J].

Ayala, David ;

Francis, John .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 365 (03) :847-933

[5] Local structures on stratified spaces [J].

Ayala, David ;

Francis, John ;

Tanaka, Hiro Lee .

ADVANCES IN MATHEMATICS, 2017, 307 :903-1028

[6] Factorization homology of stratified spaces [J].

Ayala, David ;

Francis, John ;

Tanaka, Hiro Lee .

SELECTA MATHEMATICA-NEW SERIES, 2017, 23 (01) :293-362

[7] Factorization homology of topological manifolds [J].

Ayala, David ;

Francis, John .

JOURNAL OF TOPOLOGY, 2015, 8 (04) :1045-1084

[8] The Dold-Thom theorem via factorization homology [J].

Bandklayder, Lauren .

JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 2019, 14 (02) :579-593

[9]

BEILINSON A, 2004, AM MATH SOC C PUBLIC, V51

[10]

BOARDMAN JM, 1973, LECT NOTES MATH

← 1 2 3 4 →