Gromov-Witten Theory of Quotients of Fermat Calabi-Yau Varieties PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Gromov-Witten Theory of Quotients of Fermat Calabi-Yau Varieties PDF full book. Access full book title Gromov-Witten Theory of Quotients of Fermat Calabi-Yau Varieties by Hiroshi Iritani. Download full books in PDF and EPUB format.
Author: Hiroshi Iritani
Publisher: American Mathematical Soc.
ISBN: 1470443635
Category : Education
Languages : en
Pages : 92
Get Book Here
Book Description
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.
Author: Hiroshi Iritani
Publisher: American Mathematical Soc.
ISBN: 1470443635
Category : Education
Languages : en
Pages : 92
Get Book Here
Book Description
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.
Author: Hiroshi Iritani
Publisher:
ISBN: 9781470464752
Category : Calabi-Yau manifolds
Languages : en
Pages : 0
Get Book Here
Book Description
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.
Author: Abed Bounemoura
Publisher: American Mathematical Soc.
ISBN: 147044691X
Category : Education
Languages : en
Pages : 89
Get Book Here
Book Description
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
Author: Guy David
Publisher: American Mathematical Society
ISBN: 1470450437
Category : Mathematics
Languages : en
Pages : 123
Get Book Here
Book Description
View the abstract.
Author: Stuart Margolis
Publisher: American Mathematical Society
ISBN: 1470450429
Category : Mathematics
Languages : en
Pages : 135
Get Book Here
Book Description
View the abstract.
Author: William Gignac
Publisher: American Mathematical Society
ISBN: 1470449587
Category : Mathematics
Languages : en
Pages : 100
Get Book Here
Book Description
View the abstract.
Author: Gijs Heuts
Publisher: American Mathematical Society
ISBN: 1470448939
Category : Mathematics
Languages : en
Pages : 108
Get Book Here
Book Description
View the abstract.
Author: Yann Palu
Publisher: American Mathematical Society
ISBN: 1470450046
Category : Mathematics
Languages : en
Pages : 95
Get Book Here
Book Description
View the abstract.
Author: Yurii Kolomoitsev
Publisher: American Mathematical Society
ISBN: 1470447584
Category : Mathematics
Languages : en
Pages : 118
Get Book Here
Book Description
View the abstract.
Author: Cheol-Hyun Cho
Publisher: American Mathematical Society
ISBN: 1470447614
Category : Mathematics
Languages : en
Pages : 116
Get Book Here
Book Description
View the abstract.
