Download or read book Gromov Witten Theory of Quotients of Fermat Calabi Yau Varieties written by Hiroshi Iritani and published by American Mathematical Soc.. This book was released on 2021-06-21 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Gromov Witten Theory of Quotients of Fermat Calabi Yau Varieties written by Hiroshi Iritani and published by . This book was released on 1900 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Hamiltonian Perturbation Theory for Ultra Differentiable Functions written by Abed Bounemoura and published by American Mathematical Soc.. This book was released on 2021-07-21 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Elliptic Theory for Sets with Higher Co Dimensional Boundaries written by Guy David and published by American Mathematical Society. This book was released on 2021-12-30 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Cell Complexes Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry written by Stuart Margolis and published by American Mathematical Society. This book was released on 2021-12-30 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Local Dynamics of Non Invertible Maps Near Normal Surface Singularities written by William Gignac and published by American Mathematical Society. This book was released on 2021-11-16 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Goodwillie Approximations to Higher Categories written by Gijs Heuts and published by American Mathematical Society. This book was released on 2021-11-16 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Non Kissing Complexes and Tau Tilting for Gentle Algebras written by Yann Palu and published by American Mathematical Society. This book was released on 2021-12-30 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Hardy Littlewood and Ulyanov Inequalities written by Yurii Kolomoitsev and published by American Mathematical Society. This book was released on 2021-09-24 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Noncommutative Homological Mirror Functor written by Cheol-Hyun Cho and published by American Mathematical Society. This book was released on 2021-09-24 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Asymptotic Counting in Conformal Dynamical Systems written by Mark Pollicott and published by American Mathematical Society. This book was released on 2021-09-24 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Spectral Expansions of Non Self Adjoint Generalized Laguerre Semigroups written by Pierre Patie and published by American Mathematical Society. This book was released on 2021-11-16 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Intense Automorphisms of Finite Groups written by Mima Stanojkovski and published by American Mathematical Society. This book was released on 2021-12-09 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Existence of Unimodular Triangulations Positive Results written by Christian Haase and published by American Mathematical Soc.. This book was released on 2021-07-21 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unimodular triangulations of lattice polytopes arise in algebraic geometry, commutative algebra, integer programming and, of course, combinatorics. In this article, we review several classes of polytopes that do have unimodular triangulations and constructions that preserve their existence. We include, in particular, the first effective proof of the classical result by Knudsen-Mumford-Waterman stating that every lattice polytope has a dilation that admits a unimodular triangulation. Our proof yields an explicit (although doubly exponential) bound for the dilation factor.

Download or read book Uniqueness of Fat Tailed Self Similar Profiles to Smoluchowski s Coagulation Equation for a Perturbation of the Constant Kernel written by Sebastian Throm and published by American Mathematical Society. This book was released on 2021-09-24 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book The Yang Mills Heat Equation with Finite Action in Three Dimensions written by Leonard Gross and published by American Mathematical Society. This book was released on 2022-02-02 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Decoupling on the Wiener Space Related Besov Spaces and Applications to BSDEs written by Stefan Geiss and published by American Mathematical Society. This book was released on 2021-11-16 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.