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書名 Virtual fundamental cycles in symplectic topology / John W. Morgan, editor ; Dusa McDuff, Mohammad Tehrani, Kenji Fukaya, Dominic Joyce
出版項 Providence, Rhode Island : American Mathematical Society ; [Stony Brook, New York] : Simons Center for Geometry and Physics, [2019]
國際標準書號 9781470450144
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA665 V57 2019    在架上    30340200563579
說明 xv, 298 pages : illustrations ; 27 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
系列 Mathematical surveys and monographs ; volume 237
Mathematical surveys and monographs ; no. 237
附註 Includes bibliographical references
Introduction / by John W. Morgan -- Notes on Kuranishi atlases / by Dusa McDuff -- Gromov-Witten theory via Kuranishi structures / by Mohammad F. Tehrani and Kenji Fukaya -- Kuranishi spaces as a 2-category / by Dominic Joyce
The method of using the moduli space of pseudo-holomorphic curves on a symplectic manifold was introduced by Mikhail Gromov in 1985. From the appearance of Gromov's original paper until today this approach has been the most important tool in global symplectic geometry. To produce numerical invariants of these manifolds using this method requires constructing a fundamental cycle associated with moduli spaces. This volume brings together three approaches to constructing the "virtual" fundamental cycle for the moduli space of pseudo-holomorphic curves. All approaches are based on the idea of local Kuranishi charts for the moduli space. Workers in the field will get a comprehensive understanding of the details of these constructions and the assumptions under which they can be made. These techniques and results will be essential in further applications of this approach to producing invariants of symplectic manifolds
主題 Symplectic geometry
Geometry, Differential
Geometry, Differential. fast (OCoLC)fst00940919
Symplectic geometry. fast (OCoLC)fst01140989
Differential geometry -- Symplectic geometry, contact geometry -- Gromov-Witten invariants, quantum cohomology, Frobenius manifolds. msc
Differential geometry -- Symplectic geometry, contact geometry -- Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category. msc
Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Differential complexes. msc
Manifolds and cell complexes -- Differential topology -- Symplectic and contact topology. msc
Manifolds and cell complexes -- Differential topology -- Topology and geometry of orbifolds. msc
Alt Author Morgan, John, 1946 March 21- editor
McDuff, Dusa, 1945- author
Tehrani, Mohammad, author
Fukaya, Kenji, 1959- author
Joyce, Dominic D., author
Simons Center for Geometry and Physics (Stony Brook University), issuing body, publisher
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