Published March 2010
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An algorithm for computing some Heegaard Floer homologies
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Abstract
In this paper, we give an algorithm to compute the hat version of Heegaard Floer homology of a closed oriented three-manifold. This method also allows us to compute the filtration coming from a null-homologous link in a three-manifold.
Additional Information
© 2010 Annals of Mathematics. Received: 4 August 2006. Revised: 1 May 2008. Published: 25 March 2010. The first author wishes to thank Zoltán Szabó for introducing him to the subject of Heegaard Floer homology and having many helpful discussions at various points. This work was done when the second author was an exchange graduate student in Columbia University. He is grateful to the Columbia math department for its hospitality. He also would like to thank Rob Kirby and Peter Ozsváth for their continuous guidance, support and encouragement. Both authors thank Matthew Hedden, Robert Lipshitz, Ciprian Manolescu, Peter Ozsváth, Jacob Rasmussen and Dylan Thurston for making comments and having helpful discussions during the development of this work. We also thank the referees for their comments and suggestions.Attached Files
Published - Sarkar2010p10888Ann_Math.pdf
Submitted - 0607777.pdf
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0607777.pdf
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- Eprint ID
- 19305
- Resolver ID
- CaltechAUTHORS:20100805-154950526
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- https://arxiv.org/abs/math/0607777 (URL)
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2010-08-05Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field