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
Mots-clés : Hochschild homology, localization, Smith theory, Heegaard Floer homology 
@article{JEMS_2016_18_2_a1,
     author = {Robert Lipshitz and David Treumann},
     title = {Noncommutative {Hodge-to-de} {Rham} spectral sequence and the {Heegaard} {Floer} homology of double covers},
     journal = {Journal of the European Mathematical Society},
     pages = {281--325},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2016},
     doi = {10.4171/jems/590},
     url = {https://geodesic-test.mathdoc.fr/articles/10.4171/jems/590/}
}
TY  - JOUR
AU  - Robert Lipshitz
AU  - David Treumann
TI  - Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers
JO  - Journal of the European Mathematical Society
PY  - 2016
SP  - 281
EP  - 325
VL  - 18
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.4171/jems/590/
DO  - 10.4171/jems/590
ID  - JEMS_2016_18_2_a1
ER  - 
%0 Journal Article
%A Robert Lipshitz
%A David Treumann
%T Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers
%J Journal of the European Mathematical Society
%D 2016
%P 281-325
%V 18
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.4171/jems/590/
%R 10.4171/jems/590
%F JEMS_2016_18_2_a1
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. https://geodesic-test.mathdoc.fr/articles/10.4171/jems/590/

Cité par Sources :