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Cohomology in algebra, geometry, physicsand statistics
On embedded contact homology
Speaker’s name:
Roman Golovko
Speaker’s affiliation:
Charles University, Praha
Place:
in IM building, ground floor
Date:
Wednesday, 5. December 2018 - 11:30 to 12:30
Abstract:
The embedded contact homology (ECH) of a closed, oriented 3-manifold with a contact form is a variant of the symplectic field theory of Eliashberg, Givental and Hofer. It is defined in terms of a contact form but is an invariant of the underlying 3-manifold. This invariance has been established by Taubes via the
identification with Seiberg-Witten Floer (co-)homology as defined by Kronheimer and Mrowka
and in particular implies the Weinstein conjecture in dimension three. There is also an isomorphism
from embedded contact homology to Ozsvath-Szabo Heegaard Floer homology. We will discuss the construction of ECH
and its applications.