Voir la notice de l'article provenant de la source Mathematical Sciences Publishers
We compute the connected Heegaard Floer homology (defined by Hendricks, Hom, and Lidman) for a large class of 3–manifolds, including all linear combinations of Seifert fibered homology spheres. We show that for such manifolds, the connected Floer homology completely determines the local equivalence class of the associated ι–complex. Some identities relating the rank of the connected Floer homology to the Rokhlin invariant and the Neumann–Siebenmann invariant are also derived. Our computations are based on combinatorial models inspired by the work of Némethi on lattice homology.
Keywords: homology cobordism, involutive Heegaard Floer homology, connected Heegaard Floer homology
Dai, Irving 1
@article{10_2140_agt_2019_19_2535,
author = {Dai, Irving},
title = {Connected {Heegaard} {Floer} homology of sums of {Seifert} fibrations},
journal = {Algebraic and Geometric Topology},
pages = {2535--2574},
publisher = {mathdoc},
volume = {19},
number = {5},
year = {2019},
doi = {10.2140/agt.2019.19.2535},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2019.19.2535/}
}
TY - JOUR AU - Dai, Irving TI - Connected Heegaard Floer homology of sums of Seifert fibrations JO - Algebraic and Geometric Topology PY - 2019 SP - 2535 EP - 2574 VL - 19 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2019.19.2535/ DO - 10.2140/agt.2019.19.2535 ID - 10_2140_agt_2019_19_2535 ER -
%0 Journal Article %A Dai, Irving %T Connected Heegaard Floer homology of sums of Seifert fibrations %J Algebraic and Geometric Topology %D 2019 %P 2535-2574 %V 19 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2019.19.2535/ %R 10.2140/agt.2019.19.2535 %F 10_2140_agt_2019_19_2535
Dai, Irving. Connected Heegaard Floer homology of sums of Seifert fibrations. Algebraic and Geometric Topology, Tome 19 (2019) no. 5, pp. 2535-2574. doi: 10.2140/agt.2019.19.2535
Cité par Sources :