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Lectures On Lagrangian Torus Fibrations Jonny Evans

SKU: BELL-50849262

$ 31.00 ~~$ 45.00~~ (-31%)

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Lectures On Lagrangian Torus Fibrations Jonny Evans instant download after payment.

Publisher: Cambridge University Press

File Extension: PDF

File size: 5.79 MB

Pages: 240

Author: Jonny Evans

ISBN: 9781009372626, 1009372629

Language: English

Year: 2023

Product desciption

Lectures On Lagrangian Torus Fibrations Jonny Evans by Jonny Evans 9781009372626, 1009372629 instant download after payment.

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.