Computational tools for topological coHochschild homology

被引：7
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
收藏
页码：185 / 213
页数：29
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