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Floer type cohomology on cosymplectic manifolds

Title
Floer type cohomology on cosymplectic manifolds
Authors
Cho, Yong SeungDo Chai, Young
Ewha Authors
조용승
SCOPUS Author ID
조용승scopus
Issue Date
2015
Journal Title
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
ISSN
0219-8878JCR Link1793-6977JCR Link
Citation
vol. 12, no. 7
Keywords
Cosymplectic manifoldFloer type cohomologyquantum type cohomologyMaslov indexsymplectic type action functionalArnold conjecture
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Indexed
SCIE; SCOPUS WOS scopus
Abstract
We investigate a Floer type cohomology on cosymplectic manifolds M. To do this, we study a symplectic type action functional on the universal covering space of the loop space of contractible loops in M and the moduli space of gradient flow lines of the functional. The cochain complex induced by the critical points of the functional produces Floer type cohomology of M which is naturally isomorphic to a quantum type cohomology of M. We have an Arnold type theorem for Hamiltonian cosymplectomorphisms on compact semipositive cosymplectic manifolds. As an example, we consider the product of a Calabi-Yau 3-fold and the unit circle.
DOI
10.1142/S0219887815500826
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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