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Tuesday Seminar on Topology
Seminar information archive ～05/01｜Next seminar｜Future seminars 05/02～
| Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | HABIRO Kazuo, KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2021/10/26
17:00-18:00 Online
Pre-registration required. See our seminar webpage.
Naohiko Kasuya (Hokkaido University)
On the strongly pseudoconcave boundary of a compact complex surface (JAPANESE)
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
Pre-registration required. See our seminar webpage.
Naohiko Kasuya (Hokkaido University)
On the strongly pseudoconcave boundary of a compact complex surface (JAPANESE)
[ Abstract ]
On the strongly pseudoconvex (resp. pseudoconcave) boundary of a complex surface, the complex
tangency defines a positive (resp. negative) contact structure. Bogomolov and De Oliveira proved
that the boundary contact structure of a strongly pseudoconvex surface is Stein fillable.
Therefore, for a closed contact 3-manifold, Stein fillability and holomorphic fillability are
equivalent. Then what about the boundary of a strongly pseudoconcave surface? We prove that any
closed negative contact 3-manifold can be realized as the boundary of a strongly pseudoconcave
surface. The proof is done by establishing holomorphic handle attaching method to the strongly
pseudoconcave boundary of a complex surface, based on Eliashberg's handlebody construction of Stein
manifolds. This is a joint work with Daniele Zuddas (University of Trieste).
[ Reference URL ]On the strongly pseudoconvex (resp. pseudoconcave) boundary of a complex surface, the complex
tangency defines a positive (resp. negative) contact structure. Bogomolov and De Oliveira proved
that the boundary contact structure of a strongly pseudoconvex surface is Stein fillable.
Therefore, for a closed contact 3-manifold, Stein fillability and holomorphic fillability are
equivalent. Then what about the boundary of a strongly pseudoconcave surface? We prove that any
closed negative contact 3-manifold can be realized as the boundary of a strongly pseudoconcave
surface. The proof is done by establishing holomorphic handle attaching method to the strongly
pseudoconcave boundary of a complex surface, based on Eliashberg's handlebody construction of Stein
manifolds. This is a joint work with Daniele Zuddas (University of Trieste).
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
