Virtual Fundamental Cycles in Symplectic Topology (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
300
Utgivningsdatum
2019-05-30
Förlag
American Mathematical Society
Medarbetare
Morgan, John W. (red.)
Dimensioner
260 x 190 x 19 mm
Vikt
752 g
ISBN
9781470450144
Virtual Fundamental Cycles in Symplectic Topology (inbunden)

Virtual Fundamental Cycles in Symplectic Topology

Inbunden Engelska, 2019-05-30
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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. This book is published in cooperation with Simons Center for Geometry and Physics.
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Övrig information

John W. Morgan, Simons Center for Geometry and Physics, Stony Brook, NY.

Innehållsförteckning

D. McDuff, Notes on Kuranishi atlases M. F. Tehrani and K. Fukaya, Gromov-Witten theory via Kuranishi structures D. Joyce, Kuranishi spaces as a 2-category