Geodesic
Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers
Journal of the European Mathematical Society, Tome 18 (2016) no. 2, pp. 281-325

Voir la notice de l'article provenant de la source EMS Press

Let A be a dg algebra over F2​ 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.
DOI : 10.4171/jems/590
Classification : 57-XX, 16-XX, 53-XX
Keywords: Hochschild homology, localization, Smith theory, Heegaard Floer homology 
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     title = {Noncommutative {Hodge-to-de} {Rham} spectral sequence and the {Heegaard} {Floer} homology of double covers},
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Robert Lipshitz; David Treumann. Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers. Journal of the European Mathematical Society, Tome 18 (2016) no. 2, pp. 281-325. doi: 10.4171/jems/590

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