We calculate the Heegaard Floer homologies for mapping tori associated to certain surface diffeomorphisms, where is any structure on whose first Chern class is non-torsion. Let and be a pair of geometrically dual nonseparating curves on a genus Riemann surface , and let be a curve separating into components of genus and . Write , , and for the right-handed Dehn twists about each of these curves. The examples we consider are the mapping tori of the diffeomorphisms for and that of .
"Heegaard Floer homology of certain mapping tori." Algebr. Geom. Topol. 4 (2) 685 - 719, 2004. https://doi.org/10.2140/agt.2004.4.685