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トポロジー火曜セミナー
過去の記録 ～04/26｜次回の予定｜今後の予定 04/27～
| 開催情報 | 火曜日 17:00～18:30 数理科学研究科棟(駒場) 056号室 |
|---|---|
| 担当者 | 河澄 響矢, 北山 貴裕, 逆井卓也 |
| セミナーURL | http://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index.html |
2021年10月26日(火)
17:00-18:00 オンライン開催
参加を希望される場合は、セミナーのホームページから参加登録を行って下さい。
粕谷 直彦 氏 (北海道大学)
On the strongly pseudoconcave boundary of a compact complex surface (JAPANESE)
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
参加を希望される場合は、セミナーのホームページから参加登録を行って下さい。
粕谷 直彦 氏 (北海道大学)
On the strongly pseudoconcave boundary of a compact complex surface (JAPANESE)
[ 講演概要 ]
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).
[ 参考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
