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Lagrangian Intersection Theory and Hamiltonian Volume Minimizing Problem

  • Hiroshi Iriyeh
  • Takashi Sakai
  • Hiroyuki Tasaki
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 106)

Abstract

In this article, we first describe antipodal sets and the structure of intersections of two real forms in complex flag manifolds. In particular, in the complex flag manifold consisting of sequences of complex subspaces in a complex vector space we investigate the real form consisting of sequences of quaternionic subspaces. Moreover, we discuss applications to the Hamiltonian volume minimizing problem.

Keywords

Real Form Hermitian Symmetric Space Floer Homology Flag Manifold Quaternionic Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

The first author was partly supported by the Grant-in-Aid for Young Scientists (B) (No. 24740049), JSPS. The second author was partly supported by the Grant-in-Aid for Science Research (C) (No. 26400073), JSPS. The third author was partly supported by the Grant-in-Aid for Science Research (C) (No. 24540064), JSPS.

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Copyright information

© Springer Japan 2014

Authors and Affiliations

  • Hiroshi Iriyeh
    • 1
  • Takashi Sakai
    • 2
  • Hiroyuki Tasaki
    • 3
  1. 1.School of Science and Technology for Future LifeTokyo Denki UniversityTokyoJapan
  2. 2.Department of Mathematics and Information SciencesTokyo Metropolitan UniversityTokyoJapan
  3. 3.Division of Mathematics, Faculty of Pure and Applied SciencesUniversity of TsukubaIbarakiJapan

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