ON THE LOOP HOMOLOGY OF COMPLEX PROJECTIVE SPACES

被引：3

作者：

Chataur, David ^{[1
]}

Le Borgne, Jean-Francois ^{[1
]}

机构：

[1] Univ Lille 1, Lab Paul Painleve, F-59655 Villeneuve Dascq, France

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2011年 / 139卷 / 04期

关键词：

Free loop spaces; Hochschild homology; string topology; BATALIN-VILKOVISKY ALGEBRAS; COHOMOLOGY;

D O I：

10.24033/bsmf.2616

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this short note we compute the Chas-Sullivan BV-algebra structure on the singular homology of the free loop space of complex projective spaces. We compare this result with computations in Hochschild cohomology.

引用

页码：503 / 518

页数：16

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