On the Heegaard Floer homology of a surface times a circle

• Autores: Stanislav Jabuka, Thomas E. Mark
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 218, Nº 3, 2008, págs. 728-761
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.01.009
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• Resumen

  • We make a detailed study of the Heegaard Floer homology of the product of a closed surface Sg of genus g with S1. We determine completely in the case , which for g3 was previously unknown. We show that in this case HF8 is closely related to the cohomology of the total space of a certain circle bundle over the Jacobian torus of Sg, and furthermore that contains nontrivial 2-torsion whenever g3 and . This is the first example known to the authors of torsion in -coefficient Heegaard Floer homology. Our methods also give new information on the action of H1(Sg×S1) on when is nonzero