Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces of compact type Japan no
-
- Iriyeh Hiroshi
- School of Science and Technology for Future Life, Tokyo Denki University
-
- Sakai Takashi
- Department of Mathematics and Information Sciences, Tokyo Metropolitan University
-
- Tasaki Hiroyuki
- Division of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba
書誌事項
- タイトル別名
-
- Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces of compact type
- Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces of compact type Japan
この論文をさがす
抄録
In this paper we calculate the Lagrangian Floer homology HF(L0, L1 : ℤ2) of a pair of real forms (L0, L1) in a monotone Hermitian symmetric space M of compact type in the case where L0 is not necessarily congruent to L1. In particular, we have a generalization of the Arnold-Givental inequality in the case where M is irreducible. As its application, we prove that the totally geodesic Lagrangian sphere in the complex hyperquadric is globally volume minimizing under Hamiltonian deformations.
収録刊行物
-
- Journal of the Mathematical Society of Japan
-
Journal of the Mathematical Society of Japan 65 (4), 1135-1151, 2013
一般社団法人 日本数学会
- Tweet
キーワード
詳細情報 詳細情報について
-
- CRID
- 1390282680093341056
-
- NII論文ID
- 130003384667
-
- NII書誌ID
- AA0070177X
-
- ISSN
- 18811167
- 18812333
- 00255645
-
- HANDLE
- 2241/00124650
-
- MRID
- 3127820
-
- NDL書誌ID
- 024947255
-
- 本文言語コード
- en
-
- データソース種別
-
- JaLC
- IRDB
- NDL
- Crossref
- CiNii Articles
- KAKEN
-
- 抄録ライセンスフラグ
- 使用不可