Articles liés à Lectures on Lagrangian Torus Fibrations
Synopsis
Symington's almost toric fibrations have played a central role in symplectic geometry over the past decade, from Vianna's discovery of exotic Lagrangian tori to recent work on Fibonacci staircases. Four-dimensional spaces are of relevance in Hamiltonian dynamics, algebraic geometry, and mathematical string theory, and these fibrations encode the geometry of a symplectic 4-manifold in a simple 2-dimensional diagram. This text is a guide to interpreting these diagrams, aimed at graduate students and researchers in geometry and topology. First the theory is developed, and then studied in many examples, including fillings of lens spaces, resolutions of cusp singularities, non-toric blow-ups, and Vianna tori. In addition to the many examples, students will appreciate the exercises with full solutions throughout the text. The appendices explore select topics in more depth, including tropical Lagrangians and Markov triples, with a final appendix listing open problems. Prerequisites include familiarity with algebraic topology and differential geometry.
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À propos de l?auteur
Jonny Evans is Reader in Pure Mathematics at Lancaster University. He is a geometer, and in 2021 he was awarded an LMS Whitehead Prize for his work on symplectic geometry and singularities.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurCambridge University Press
- Date d'édition2023
- ISBN 10 1009372629
- ISBN 13 9781009372626
- ReliureRelié
- Langueanglais
- Nombre de pages243
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Lectures on Lagrangian Torus Fibrations (London Mathematical Society Student Texts, Series Number 105)
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Cambridge University Press, 2023
ISBN 10 : 1009372629
ISBN 13 : 9781009372626
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Couverture rigide
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Lectures on Lagrangian Torus Fibrations
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Lectures on Lagrangian Torus Fibrations
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Lectures on Lagrangian Torus Fibrations (London Mathematical Society Student Texts, Series Number 105)
Edité par
Cambridge University Press, 2023
ISBN 10 : 1009372629
ISBN 13 : 9781009372626
Neuf
Couverture rigide
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Lectures on Lagrangian Torus Fibrations (Hardcover)
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ISBN 10 : 1009372629
ISBN 13 : 9781009372626
Neuf
Couverture rigide
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Hardcover. Etat : new. Hardcover. Symington's almost toric fibrations have played a central role in symplectic geometry over the past decade, from Vianna's discovery of exotic Lagrangian tori to recent work on Fibonacci staircases. Four-dimensional spaces are of relevance in Hamiltonian dynamics, algebraic geometry, and mathematical string theory, and these fibrations encode the geometry of a symplectic 4-manifold in a simple 2-dimensional diagram. This text is a guide to interpreting these diagrams, aimed at graduate students and researchers in geometry and topology. First the theory is developed, and then studied in many examples, including fillings of lens spaces, resolutions of cusp singularities, non-toric blow-ups, and Vianna tori. In addition to the many examples, students will appreciate the exercises with full solutions throughout the text. The appendices explore select topics in more depth, including tropical Lagrangians and Markov triples, with a final appendix listing open problems. Prerequisites include familiarity with algebraic topology and differential geometry. This book explains how to use simple 2-dimensional pictures to understand the geometry and topology of 4-dimensional spaces. These spaces are of relevance in Hamiltonian dynamics, in algebraic geometry, and in mathematical string theory. It is suitable for graduate students and researchers in geometry and topology. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9781009372626
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Lectures on Lagrangian Torus Fibrations
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ISBN 10 : 1009372629
ISBN 13 : 9781009372626
Neuf
Couverture rigide
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Buch. Etat : Neu. Neuware - 'This book explains how to use simple 2-dimensional pictures to understand the geometry and topology of 4-dimensional spaces. These spaces are of relevance in Hamiltonian dynamics, in algebraic geometry, and in mathematical string theory. It is suitable for graduate students and researchers in geometry and topology'--. N° de réf. du vendeur 9781009372626
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Lectures on Lagrangian Torus Fibrations (London Mathematical Society Student Texts, Series Number 105)
Edité par
Cambridge University Press, 2023
ISBN 10 : 1009372629
ISBN 13 : 9781009372626
Neuf
Couverture rigide
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Lectures on Lagrangian Torus Fibrations (Hardcover)
Edité par
Cambridge University Press, Cambridge, 2023
ISBN 10 : 1009372629
ISBN 13 : 9781009372626
Neuf
Couverture rigide
Vendeur : Grand Eagle Retail, Fairfield, OH, Etats-Unis
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Hardcover. Etat : new. Hardcover. Symington's almost toric fibrations have played a central role in symplectic geometry over the past decade, from Vianna's discovery of exotic Lagrangian tori to recent work on Fibonacci staircases. Four-dimensional spaces are of relevance in Hamiltonian dynamics, algebraic geometry, and mathematical string theory, and these fibrations encode the geometry of a symplectic 4-manifold in a simple 2-dimensional diagram. This text is a guide to interpreting these diagrams, aimed at graduate students and researchers in geometry and topology. First the theory is developed, and then studied in many examples, including fillings of lens spaces, resolutions of cusp singularities, non-toric blow-ups, and Vianna tori. In addition to the many examples, students will appreciate the exercises with full solutions throughout the text. The appendices explore select topics in more depth, including tropical Lagrangians and Markov triples, with a final appendix listing open problems. Prerequisites include familiarity with algebraic topology and differential geometry. This book explains how to use simple 2-dimensional pictures to understand the geometry and topology of 4-dimensional spaces. These spaces are of relevance in Hamiltonian dynamics, in algebraic geometry, and in mathematical string theory. It is suitable for graduate students and researchers in geometry and topology. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781009372626
Quantité disponible : 1 disponible(s)
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Lectures on Lagrangian Torus Fibrations (London Mathematical Society Student Texts, Series Number 105)
Edité par
Cambridge University Press, 2023
ISBN 10 : 1009372629
ISBN 13 : 9781009372626
Neuf
Couverture rigide
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hardcover. Etat : New. New. book. N° de réf. du vendeur D8S0-3-M-1009372629-6
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