Lectures On Contact 3 Manifolds Holomorphic Curves And Intersection Theory
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Lectures On Contact 3 Manifolds Holomorphic Curves And Intersection Theory
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Author : Chris Wendl
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-26
Lectures On Contact 3 Manifolds Holomorphic Curves And Intersection Theory written by Chris Wendl 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 2020-03-26 with Mathematics categories.
An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.
Holomorphic Curves In Low Dimensions
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Author : Chris Wendl
language : en
Publisher: Springer
Release Date : 2018-06-28
Holomorphic Curves In Low Dimensions written by Chris Wendl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-28 with Mathematics categories.
This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three. The first half of the book focuses on McDuff's characterization of symplectic rational and ruled surfaces, one of the classic early applications of holomorphic curve theory. The proof presented here uses the language of Lefschetz fibrations and pencils, thus it includes some background on these topics, in addition to a survey of the required analytical results on holomorphic curves. Emphasizing applications rather than technical results, the analytical survey mostly refers to other sources for proofs, while aiming to provide precise statements that are widely applicable, plus some informal discussion of the analytical ideas behind them. The second half of the book then extends this program in two complementary directions: (1) a gentle introduction to Gromov-Witten theory and complete proof of the classification of uniruled symplectic 4-manifolds; and (2) a survey of punctured holomorphic curves and their applications to questions from 3-dimensional contact topology, such as classifying the symplectic fillings of planar contact manifolds. This book will be particularly useful to graduate students and researchers who have basic literacy in symplectic geometry and algebraic topology, and would like to learn how to apply standard techniques from holomorphic curve theory without dwelling more than necessary on the analytical details. This book is also part of the Virtual Series on Symplectic Geometry http://www.springer.com/series/16019
Advances In Mathematical Sciences
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Author : Bahar Acu
language : en
Publisher: Springer Nature
Release Date : 2020-07-16
Advances In Mathematical Sciences written by Bahar Acu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-16 with Mathematics categories.
This volume highlights the mathematical research presented at the 2019 Association for Women in Mathematics (AWM) Research Symposium held at Rice University, April 6-7, 2019. The symposium showcased research from women across the mathematical sciences working in academia, government, and industry, as well as featured women across the career spectrum: undergraduates, graduate students, postdocs, and professionals. The book is divided into eight parts, opening with a plenary talk and followed by a combination of research paper contributions and survey papers in the different areas of mathematics represented at the symposium: algebraic combinatorics and graph theory algebraic biology commutative algebra analysis, probability, and PDEs topology applied mathematics mathematics education
A Course On Holomorphic Discs
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Author : Hansjörg Geiges
language : en
Publisher: Springer Nature
Release Date : 2023-07-06
A Course On Holomorphic Discs written by Hansjörg Geiges and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-06 with Mathematics categories.
This textbook, based on a one-semester course taught several times by the authors, provides a self-contained, comprehensive yet concise introduction to the theory of pseudoholomorphic curves. Gromov’s nonsqueezing theorem in symplectic topology is taken as a motivating example, and a complete proof using pseudoholomorphic discs is presented. A sketch of the proof is discussed in the first chapter, with succeeding chapters guiding the reader through the details of the mathematical methods required to establish compactness, regularity, and transversality results. Concrete examples illustrate many of the more complicated concepts, and well over 100 exercises are distributed throughout the text. This approach helps the reader to gain a thorough understanding of the powerful analytical tools needed for the study of more advanced topics in symplectic topology. /divThis text can be used as the basis for a graduate course, and it is also immensely suitable for independent study. Prerequisites include complex analysis, differential topology, and basic linear functional analysis; no prior knowledge of symplectic geometry is assumed. This book is also part of the Virtual Series on Symplectic Geometry.
Noncommutative Function Theoretic Operator Theory And Applications
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Author : Joseph A. Ball
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-16
Noncommutative Function Theoretic Operator Theory And Applications written by Joseph A. Ball 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 2021-12-16 with Mathematics categories.
This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.
Coarse Geometry Of Topological Groups
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Author : Christian Rosendal
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-16
Coarse Geometry Of Topological Groups written by Christian Rosendal 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 2021-12-16 with Mathematics categories.
Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.
Assouad Dimension And Fractal Geometry
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Author : Jonathan M. Fraser
language : en
Publisher: Cambridge University Press
Release Date : 2020-10-29
Assouad Dimension And Fractal Geometry written by Jonathan M. Fraser 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 2020-10-29 with Mathematics categories.
The first thorough treatment of the Assouad dimension in fractal geometry, with applications to many fields within pure mathematics.
Matrix Positivity
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Author : Charles R. Johnson
language : en
Publisher: Cambridge University Press
Release Date : 2020-10
Matrix Positivity written by Charles R. Johnson 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 2020-10 with Mathematics categories.
This comprehensive reference, for mathematical, engineering and social scientists, covers matrix positivity classes and their applications.
The Mordell Conjecture
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Author : Hideaki Ikoma
language : en
Publisher: Cambridge University Press
Release Date : 2022-02-03
The Mordell Conjecture written by Hideaki Ikoma 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 2022-02-03 with Mathematics categories.
This book provides a self-contained proof of the Mordell conjecture (Faltings's theorem) and a concise introduction to Diophantine geometry.
Families Of Varieties Of General Type
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Author : János Kollár
language : en
Publisher: Cambridge University Press
Release Date : 2023-04-20
Families Of Varieties Of General Type written by János Kollár 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 2023-04-20 with Mathematics categories.
The first complete treatment of the moduli theory of varieties of general type, laying foundations for future research.