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The seminar is supposed to mainly analyze other authors' recent works on the theory of three- and four-dimensional manifolds, as well as the theory of knots. The focus will be on algorithmic issues, the theory of codimension one foliations, contact topology, Heegaard-Floer homology, smooth structures on four-dimensional manifolds and other relevant topics.
Among the works planned for discussion and detailed study are the following ones.
- Recent works on the three-demensional homology cobordism group (Manolescu, Hom).
- Approaches of Manolescu and Piccirillo to the construction of non-standard smooth structures on four-manifolds.
- Works on the connection between Heegaard--Floer homology and taut foliations on three-manifolds (Ozsváth--Szabó, Hanselman--Rasmussen--Rasmussen--Watson, Kazez--Roberts, etc).
- Works of Giroux on the connection between open books and contact structures.
 RSS: Forthcoming seminars
 Seminar organizers
Dynnikov Ivan Alekseevich
Prasolov Maxim Vyacheslavovich
Shastin Vladimir Alekseevich
Organizations
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center |
