Gromov Witten Theory Of Quotients Of Fermat Calabi Yau Varieties
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Gromov Witten Theory Of Quotients Of Fermat Calabi Yau Varieties
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Author : Hiroshi Iritani
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-06-21
Gromov Witten Theory Of Quotients Of Fermat Calabi Yau Varieties written by Hiroshi Iritani and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-21 with Education categories.
Gromov-Witten theory started as an attempt to provide a rigorous mathematical foundation for the so-called A-model topological string theory of Calabi-Yau varieties. Even though it can be defined for all the Kähler/symplectic manifolds, the theory on Calabi-Yau varieties remains the most difficult one. In fact, a great deal of techniques were developed for non-Calabi-Yau varieties during the last twenty years. These techniques have only limited bearing on the Calabi-Yau cases. In a certain sense, Calabi-Yau cases are very special too. There are two outstanding problems for the Gromov-Witten theory of Calabi-Yau varieties and they are the focus of our investigation.
Gromov Witten Theory Of Quotients Of Fermat Calabi Yau Varieties
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Author : Hiroshi Iritani
language : en
Publisher:
Release Date : 1900
Gromov Witten Theory Of Quotients Of Fermat Calabi Yau Varieties written by Hiroshi Iritani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1900 with Calabi-Yau manifolds categories.
Global CY-B-model and quasi-modular forms -- Global Landau-Ginzburg B-model at genus zero -- Opposite subspaces -- Quantization and Fock bundle -- Mirror symmetry for orbifold Fermat CY hypersurfaces -- Mirror symmetry for Fermat CY singularities.
Hamiltonian Perturbation Theory For Ultra Differentiable Functions
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Author : Abed Bounemoura
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-07-21
Hamiltonian Perturbation Theory For Ultra Differentiable Functions written by Abed Bounemoura and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-21 with Education categories.
Some scales of spaces of ultra-differentiable functions are introduced, having good stability properties with respect to infinitely many derivatives and compositions. They are well-suited for solving non-linear functional equations by means of hard implicit function theorems. They comprise Gevrey functions and thus, as a limiting case, analytic functions. Using majorizing series, we manage to characterize them in terms of a real sequence M bounding the growth of derivatives. In this functional setting, we prove two fundamental results of Hamiltonian perturbation theory: the invariant torus theorem, where the invariant torus remains ultra-differentiable under the assumption that its frequency satisfies some arithmetic condition which we call BRM, and which generalizes the Bruno-R¨ussmann condition; and Nekhoroshev’s theorem, where the stability time depends on the ultra-differentiable class of the pertubation, through the same sequence M. Our proof uses periodic averaging, while a substitute for the analyticity width allows us to bypass analytic smoothing. We also prove converse statements on the destruction of invariant tori and on the existence of diffusing orbits with ultra-differentiable perturbations, by respectively mimicking a construction of Bessi (in the analytic category) and MarcoSauzin (in the Gevrey non-analytic category). When the perturbation space satisfies some additional condition (we then call it matching), we manage to narrow the gap between stability hypotheses (e.g. the BRM condition) and instability hypotheses, thus circumbscribing the stability threshold. The formulas relating the growth M of derivatives of the perturbation on the one hand, and the arithmetics of robust frequencies or the stability time on the other hand, bring light to the competition between stability properties of nearly integrable systems and the distance to integrability. Due to our method of proof using width of regularity as a regularizing parameter, these formulas are closer to optimal as the the regularity tends to analyticity
Elliptic Theory For Sets With Higher Co Dimensional Boundaries
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Author : Guy David
language : en
Publisher: American Mathematical Society
Release Date : 2021-12-30
Elliptic Theory For Sets With Higher Co Dimensional Boundaries written by Guy David and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-30 with Mathematics categories.
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Cell Complexes Poset Topology And The Representation Theory Of Algebras Arising In Algebraic Combinatorics And Discrete Geometry
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Author : Stuart Margolis
language : en
Publisher: American Mathematical Society
Release Date : 2021-12-30
Cell Complexes Poset Topology And The Representation Theory Of Algebras Arising In Algebraic Combinatorics And Discrete Geometry written by Stuart Margolis and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-30 with Mathematics categories.
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Local Dynamics Of Non Invertible Maps Near Normal Surface Singularities
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Author : William Gignac
language : en
Publisher: American Mathematical Society
Release Date : 2021-11-16
Local Dynamics Of Non Invertible Maps Near Normal Surface Singularities written by William Gignac and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-16 with Mathematics categories.
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Goodwillie Approximations To Higher Categories
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Author : Gijs Heuts
language : en
Publisher: American Mathematical Society
Release Date : 2021-11-16
Goodwillie Approximations To Higher Categories written by Gijs Heuts and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-16 with Mathematics categories.
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Non Kissing Complexes And Tau Tilting For Gentle Algebras
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Author : Yann Palu
language : en
Publisher: American Mathematical Society
Release Date : 2021-12-30
Non Kissing Complexes And Tau Tilting For Gentle Algebras written by Yann Palu and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-30 with Mathematics categories.
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Hardy Littlewood And Ulyanov Inequalities
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Author : Yurii Kolomoitsev
language : en
Publisher: American Mathematical Society
Release Date : 2021-09-24
Hardy Littlewood And Ulyanov Inequalities written by Yurii Kolomoitsev and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-24 with Mathematics categories.
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Noncommutative Homological Mirror Functor
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Author : Cheol-Hyun Cho
language : en
Publisher: American Mathematical Society
Release Date : 2021-09-24
Noncommutative Homological Mirror Functor written by Cheol-Hyun Cho and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-24 with Mathematics categories.
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