For a three-manifold and torsion structure , Ozsváth and Szabóconstruct a spectral sequence with term an exterior algebra over converging to . They conjecture that the differentials are completely determined by the integral triple cup product form. In this paper, we prove that is in fact determined by the cohomology ring when is torsion. Furthermore, we give a complete calculation of such , with mod 2 coefficients, in the case where is 3 or 4.
Cite this article
Tye Lidman, On the infinity flavor of Heegaard Floer homology and the integral cohomology ring. Comment. Math. Helv. 88 (2013), no. 4, pp. 875–898DOI 10.4171/CMH/306