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Gromov-Witten type invariants on circle bundles over symplectic manifolds

Title
Gromov-Witten type invariants on circle bundles over symplectic manifolds
Authors
Cho, Yong SeungDo Chai, Young
Ewha Authors
조용승
SCOPUS Author ID
조용승scopus
Issue Date
2016
Journal Title
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
ISSN
0219-8878JCR Link1793-6977JCR Link
Citation
vol. 13, no. 9
Keywords
Symplectic manifoldcontact manifoldcircle bundleGromov-Witten type invariantquantum type cohomology
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Indexed
SCIE; SCOPUS WOS scopus
Abstract
We consider circle bundles over symplectic manifolds to study Gromov-Witten type invariants. We investigate the moduli space of pseudo-coholomorphic maps, Gromov-Witten type invariant, the quantum type cohomology of the total space which has a natural contact structure. We then compare Gromov-Witten invariant, and quantum cohomology of the base space with the one of the total space, and derive some relations between them.
DOI
10.1142/S0219887816501140
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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