Quantum Cohomologies on Products of Cosymplectic Manifolds and Circles
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In this paper we study the products of cosymplectic manifolds and a unit circle, which have natural symplectic structures. We have some relations on moduli spaces, Gromov–Witten invariants, and quantum cohomologies of cosymplectic manifolds and the products. As an example we examine the cosymplectic manifold \(M=S^2\times T\times S^1\) and the product \(M\times S^1\), and we also calculate their moduli spaces, Gromov–Witten invariants, and quantum cohomologies.
KeywordsCosymplectic manifold Symplectic manifold Gromov–Witten invariant Quantum cohomology
Mathematics Subject Classification55S15 57R15 58D15 53D15
This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (2013004848).
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