CORDIS Project
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This project aims to advance Heegaard Floer theory and contact topology by developing combinatorial definitions of invariants and studying tight contact structures on 3-manifolds. It also investigates exotic smooth structures on 4-manifolds, contributing to the understanding of topology in higher dimensions.
Heegaard Floer theory.
In this project (in collaboration with P.
Ozsváth and Z.
Szabó) we plan to extend our earlier results computing various versions of Heegaard Floer homologies purely combinatorially.
We also plan to find combinatorial definitions of these invariants (as graded groups).
Such results will potentially lead to a combinatorial description of 4-dimensional Heegaard Floer (mixed) invariants, conjecturally equivalent to Seiberg-Witten invariants of smooth 4-manifolds.
In particul…
HUN-REN ALFRED RENYI INSTITUTE OF MATHEMATICS
HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
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