Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces of compact type
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概要
- 論文の詳細を見る
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.
- The Mathematical Society of Japanの論文
著者
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Sakai Takashi
Department Of Applied Chemistry Faculty Of Engineering Okayama University
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Sakai Takashi
Department of Mathematics and Information Sciences, Tokyo Metropolitan University
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Iriyeh Hiroshi
School of Science and Technology for Future Life, Tokyo Denki University
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Tasaki Hiroyuki
Division of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba
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