Computational tools for topological coHochschild homology

被引：6

作者：

Bohmann, Anna Marie

Gerhardt, Teena

Flogenhaven, Amalie

Shipley, Brooke

Ziegenhagen, Stephanie

机构：

[1] Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, 37240, TN

[2] Department of Mathematics, Michigan State University, 619 Red Cedar Road, East Lansing, 48824, MI

[3] Department of Mathematics, Copenhagen University, Universitetsparken 5, Copenhagen

[4] Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 508 SEO m/c 249, 851 S. Morgan Street, Chicago, 60607-7045, IL

[5] KTH Royal Institute of Technology, Department of Mathematics, Stockholm

来源：

TOPOLOGY AND ITS APPLICATIONS | 2018年 / 235卷

基金：

美国国家科学基金会;

关键词：

Topological Hochschild homology; Coalgebra; Hochschild-Kostant-Rosenberg; HOMOTOPY SPECTRAL SEQUENCE; MODEL CATEGORIES; COALGEBRAS; ALGEBRAS; THEOREM; SPACE;

D O I：

10.1016/j.topol.2017.12.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In recent work, Hess and Shipley [18] defined a theory of topological coHochschild homology (coTHH) for coalgebras. In this paper we develop computational tools to study this new theory. In particular, we prove a Hochschild-Kostant-Rosenberg type theorem in the cofree case for differential graded coalgebras. We also develop a coBokstedt spectral sequence to compute the homology of coTHH for coalgebra spectra. We use a coalgebra structure on this spectral sequence to produce several computations. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：185 / 213

页数：29

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