Papers

Peer-reviewed
2015

Special Legendrian submanifolds in toric Sasaki-Einstein manifolds

NEW YORK JOURNAL OF MATHEMATICS
  • Takayuki Moriyama

Volume
21
Number
First page
465
Last page
484
Language
English
Publishing type
Research paper (scientific journal)
Publisher
ELECTRONIC JOURNALS PROJECT

We show every toric Sasaki-Einstein manifold S admits a special Legendrian submanifold L which arises as the link fix(tau) boolean AND S of the fixed point set fix(tau) of an anti-holomorphic involution tau on the cone C(S). In particular, we obtain a special Legendrian torus S-1 x S-1 in an irregular toric Sasaki-Einstein manifold which is diffeomorphic to S-2 x S-3. Moreover, there exists a special Legendrian submanifold in #m(S-2 x S-3) for each m >= 1.

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Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000358999500013&DestApp=WOS_CPL
ID information
  • ISSN : 1076-9803
  • Web of Science ID : WOS:000358999500013

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