Lectures On Lagrangian Torus Fibrations

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Lectures On Lagrangian Torus Fibrations

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Author : Jonny Evans
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-20

Lectures On Lagrangian Torus Fibrations written by Jonny Evans and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-20 with Mathematics categories.

Comprehensive and visual introduction to the geometry of 4-dimensional symplectic manifolds via 2-dimensional almost-toric diagrams.

Torus Fibrations Gerbes And Duality

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Author : Ron Donagi
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Torus Fibrations Gerbes And Duality written by Ron Donagi 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 2008 with Mathematics categories.

Let $X$ be a smooth elliptic fibration over a smooth base $B$. Under mild assumptions, the authors establish a Fourier-Mukai equivalence between the derived categories of two objects, each of which is an $\mathcal{O} DEGREES{\times}$ gerbe over a genus one fibration which is a twisted form

K Nneth Geometry

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Author : M. J. D. Hamilton
language : en
Publisher: Cambridge University Press
Release Date : 2023-12-21

K Nneth Geometry written by M. J. D. Hamilton and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Mathematics categories.

This clear and elegant text introduces Künneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic, it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses Künneth geometry from the point of view of basic differential topology, featuring both new expositions of standard material and new material that has not previously appeared in book form. This subject, which has many interesting uses and applications in physics, is developed ab initio, without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry. This book will serve both as a reference work for researchers, and as an invitation for graduate students to explore this field, with open problems included as inspiration for future research.

Compact Matrix Quantum Groups And Their Combinatorics

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Author : Amaury Freslon
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-27

Compact Matrix Quantum Groups And Their Combinatorics written by Amaury Freslon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-27 with Mathematics categories.

An organised step-by-step introduction to the theory of compact quantum groups, starting with examples coming from quantum physics, which stems from the basic undergraduate mathematics curriculum. Introducing more abstract concepts along the way when needed, the reader is led from the fundamentals of the theory to recent research results. The emphasis is put on the combinatorics underlying compact quantum groups, which is very elementary to describe but leads to profound results. This book includes many exercises to help students work through new concepts and ideas and consolidate their understanding. The theory itself is illustrated by an array of examples, some related to other fields of Mathematics such as free probability theory or graph theory. The book is intended for graduate students, motivated undergraduate students and researchers.

Inverse Problems And Data Assimilation

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Author : Daniel Sanz-Alonso
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-10

Inverse Problems And Data Assimilation written by Daniel Sanz-Alonso and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-10 with Computers categories.

A clear and concise mathematical introduction to the subjects of inverse problems and data assimilation, and their inter-relations.

Lectures And Surveys On G2 Manifolds And Related Topics

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Author : Spiro Karigiannis
language : en
Publisher: Springer Nature
Release Date : 2020-05-26

Lectures And Surveys On G2 Manifolds And Related Topics written by Spiro Karigiannis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-26 with Mathematics categories.

This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.

Weinstein Handlebodies For Complements Of Smoothed Toric Divisors

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Author : Bahar Acu
language : en
Publisher: American Mathematical Society
Release Date : 2025-05-16

Weinstein Handlebodies For Complements Of Smoothed Toric Divisors written by Bahar Acu 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 2025-05-16 with Mathematics categories.

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Winter School On Mirror Symmetry Vector Bundles And Lagrangian Submanifolds

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Author : Cumrun Vafa
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Winter School On Mirror Symmetry Vector Bundles And Lagrangian Submanifolds written by Cumrun Vafa 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 2001 with Mathematics categories.

The 16 articles presented here are based on lectures given at the Winter School on Mirror Symmetry held at Harvard University in January 1999. They represent recent progress and new directions in the field. Specific topics include Floer homology and mirror symmetry, special Lagrange fibrations, special Lagrangian submanifolds, and local mirror symmetry at higher genus. Other topics include homological mirror symmetry with higher products, categorical mirror symmetry in the elliptic curve, Lagrangian torus fibration of quintic hypersurfaces, mirror symmetry and T-duality, and mirror symmetry and actions of Braid groups on derived categories. This work lacks a subject index. c. Book News Inc.

Contact And Symplectic Topology

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Author : Frédéric Bourgeois
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-03-10

Contact And Symplectic Topology written by Frédéric Bourgeois and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-10 with Science categories.

Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures launched a new research field worldwide. The intense activity of many European research groups in this field is reflected by the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the Summer School in Nantes (June 2011) and of the CAST Summer School in Budapest (July 2012) provide a nice panorama of many aspects of the present status of contact and symplectic topology. The notes of the minicourses offer a gentle introduction to topics which have developed in an amazing speed in the recent past. These topics include 3-dimensional and higher dimensional contact topology, Fukaya categories, asymptotically holomorphic methods in contact topology, bordered Floer homology, embedded contact homology, and flexibility results for Stein manifolds.

Lectures On Poisson Geometry

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Author : Marius Crainic
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-10-14

Lectures On Poisson Geometry written by Marius Crainic 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 2021-10-14 with Education categories.

This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto