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Lectures on Lagrangian Torus Fibrations: 105 (London Mathematical Society Student Texts, Series Number 105) - Hardcover
Inhaltsangabe
Comprehensive and visual introduction to the geometry of 4-dimensional symplectic manifolds via 2-dimensional almost-toric diagrams.
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Über die Autorin bzw. den Autor
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.
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- VerlagCambridge University Press
- Erscheinungsdatum2023
- ISBN 10 1009372629
- ISBN 13 9781009372626
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten243
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Lectures on Lagrangian Torus Fibrations (London Mathematical Society Student Texts, Series Number 105)
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Lectures on Lagrangian Torus Fibrations (Hardcover)
Verlag:
Cambridge University Press, Cambridge, 2023
ISBN 10: 1009372629
ISBN 13: 9781009372626
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Hardcover. Zustand: 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. Bestandsnummer des Verkäufers 9781009372626
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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)
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Lectures on Lagrangian Torus Fibrations (Hardcover)
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Cambridge University Press, Cambridge, 2023
ISBN 10: 1009372629
ISBN 13: 9781009372626
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Hardcover. Zustand: 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. Bestandsnummer des Verkäufers 9781009372626
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Lectures on Lagrangian Torus Fibrations
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Cambridge University Press Jul 2023, 2023
ISBN 10: 1009372629
ISBN 13: 9781009372626
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Buch. Zustand: 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'--. Bestandsnummer des Verkäufers 9781009372626
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Lectures on Lagrangian Torus Fibrations (London Mathematical Society Student Texts, Series Number 105)
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