Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userRank inequalities for the Heegaard Floer homology of branched covers
165
0
0.0
(
0
)
Ask ChatGPT about the research
No Arabic abstract
Given a double cover between 3-manifolds branched along a nullhomologous link, we establish an inequality between the dimensions of their Heegaard Floer homologies. We discuss the relationship with the L-space conjecture and give some other topological applications, as well as an analogous result for sutured Floer homology.
rate research
Read More
We show that if K is a non-trivial knot inside a homology sphere Y, then the rank of knot Floer homology associated with K is strictly bigger than the rank of Heegaard Floer homology of Y.
We construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two differe
We give a precise description of splicing formulas from a previous paper in terms of knot Floer complex associated with a knot in homology sphere.
Using the combinatorial approach to Heegaard Floer homology we obtain a relatively easy formula for computation of hat Heegaard Floer homology for the three-manifold obtained by rational surgery on a knot K inside a homology sphere Y.
We present some non-trivial calculations of Baldwin-Ozsv{a}th-Szab{o} cohomology of links, and applications to Heegaard-Floer homology of branched double covers.
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
