Symplectic field theory of subcritical Stein manifolds. [microform]
- Bib ID:
- 4498786
- Format:
- Book and Microform
- Author:
- He, Jian
- Online Version:
- http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3281854
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- Description:
- 45 p.
- ISBN:
- 9780549244066
- Summary:
-
In this thesis some symplectic field theory invariants for subcritical Stein manifolds are computed. By constructing a compatible S 1-invariant complex structure on a subcritical Stein manifold M and studying the S1-invariant holomorphic curves, the rational contact homology of its boundary V is determined under the assumption c1 = 0. A non-degenerate pairing is found between the cylindrical contact homology of V and [circled plus]infinityi=1 H*(M, [partial differential]M)[ i], resulting in a canonical isomorphism CCH( V) [approximately equal to] [circled plus]infinityi=1 H* (M, [partial differential] M)[i]. Using these computations, a monotone Kahler manifold with a subcritical polarization is shown to be uniruled.
- Notes:
-
- (UMI)AAI3281854
- Source: Dissertation Abstracts International, Volume: 68-09, Section: B, page: 5998.
- Adviser: Yakov Eliashberg.
- Thesis (Ph.D.)--Stanford University, 2007.
- Reproduction:
- Microfiche. Ann Arbor, Mich. : University Microfilms International.
- Subject:
- Mathematics
- Other authors/contributors:
- Stanford University
- Copyright:
-
In Copyright
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Copyright status was determined using the following information:
- Material type:
- Literary, dramatic or musical work
- Published status:
- Published
- Publication date:
- 2002
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