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Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers.

Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers.

Authors :
Lipshitz, Robert
Treumann, David
Source :
Journal of the European Mathematical Society (EMS Publishing). 2016, Vol. 18 Issue 2, p281-325. 45p.
Publication Year :
2016

Abstract

Let A be a dg algebra over 픽2 and let M be a dg A-bimodule. We show that under certain technical hypotheses on A, a noncommutative analog of the Hodge-to-de Rham spectral sequence starts at the Hochschild homology of the derived tensor product M ⊗AL M and converges to the Hochschild homology of M. We apply this result to bordered Heegaard Floer theory, giving spectral sequences associated to Heegaard Floer homology groups of certain branched and unbranched double covers. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14359855
Volume :
18
Issue :
2
Database :
Academic Search Index
Journal :
Journal of the European Mathematical Society (EMS Publishing)
Publication Type :
Academic Journal
Accession number :
157477560
Full Text :
https://doi.org/10.4171/JEMS/590