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Applications of Polyfold Theory I: The Polyfolds of Gromov-Witten Theory
Language: en
Pages: 230
Authors: H. Hofer
Categories: Mathematics
Type: BOOK - Published: 2017-07-13 - Publisher: American Mathematical Soc.

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In this paper the authors start with the construction of the symplectic field theory (SFT). As a general theory of symplectic invariants, SFT has been outlined
Polyfold and Fredholm Theory
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Authors: Helmut Hofer
Categories: Mathematics
Type: BOOK - Published: 2021-07-21 - Publisher: Springer Nature

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This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds. The theory generalizes certain aspects of nonlinear analysis and d
Lectures on Geometry
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Authors: Nicholas Michael John Woodhouse
Categories: Mathematics
Type: BOOK - Published: 2017 - Publisher: Oxford University Press

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This book contains a series of chapters by leading researchers and practitioners on community engagement approaches in the field of counterterrorism and counter
Virtual Fundamental Cycles in Symplectic Topology
Language: en
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Authors: John W. Morgan
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Type: BOOK - Published: 2019-04-12 - Publisher: American Mathematical Soc.

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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 Grom
Orientability of Moduli Spaces and Open Gromov-Witten Invariants
Language: en
Pages: 58
Authors: Penka Vasileva Georgieva
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Type: BOOK - Published: 2011 - Publisher: Stanford University

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We show that the local system of orientations on the moduli space of J-holomorphic maps from a bordered Riemann surface is isomorphic to the pull-back of a loca