2015
Special Legendrian submanifolds in toric Sasaki-Einstein manifolds
NEW YORK JOURNAL OF MATHEMATICS
- 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.
- Link information
- ID information
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- ISSN : 1076-9803
- Web of Science ID : WOS:000358999500013