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Computational tools for topological coHochschild homology
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2018 (English)In: Topology and its Applications, ISSN 0166-8641, E-ISSN 1879-3207, Vol. 235, p. 185-213Article in journal (Refereed) Published
Abstract [en]

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 coBökstedt spectral sequence to compute the homology of coTHH for coalgebra spectra. We use a coalgebra structure on this spectral sequence to produce several computations. 

Place, publisher, year, edition, pages
Elsevier B.V. , 2018. Vol. 235, p. 185-213
Keywords [en]
Coalgebra, Hochschild–Kostant–Rosenberg, Topological Hochschild homology
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-223138DOI: 10.1016/j.topol.2017.12.008ISI: 000426021900018Scopus ID: 2-s2.0-85037853717OAI: oai:DiVA.org:kth-223138DiVA, id: diva2:1193207
Note

Export Date: 13 February 2018; Article; CODEN: TIAPD; Correspondence Address: Bohmann, A.M.; Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, United States; email: am.bohmann@vanderbilt.edu; Funding details: DNRF, Danmarks Grundforskningsfond; Funding details: DMS-1149408, NSF, National Science Foundation; Funding details: DMS-140648, NSF, National Science Foundation. QC 20180326

Available from: 2018-03-26 Created: 2018-03-26 Last updated: 2018-03-26Bibliographically approved

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Citation style
  • apa
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