Cohomology in algebra, geometry, physicsand statistics
On non-geometric augmentations in high dimensions and torsion of Legendrian contact homology
Speaker’s name:
Roman Golovko
Speaker’s affiliation:
Charles University
Place:
in IM building, ground floor of the rear building, blue lecture room + ZOOM meeting
Date:
Wednesday, 12. October 2022 - 13:30 to 14:30
Abstract:
We construct the augmentations of high dimensional Legendrian submanifolds of the contact Euclidean vector space which are not induced by exact Lagrangian fillings. Besides that, for an arbitrary finitely generated abelian group G, we construct the examples of Legendrian submanifolds whose integral linearized Legendrian contact (co)homology realizes G.
---------------------------------------------------------------------------------------------------------------------------
We shall open the seminar room + ZOOM meeting at 13.15 for coffee