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Moduli Spaces

$77.99 (C)

Part of London Mathematical Society Lecture Note Series

K. Behrend, W. Y. Chuang, D.-E. Diaconescu, G. Pan, P. B. Gothen, D. Huybrechts, D. Joyce, R. Pandharipande, R. P. Thomas
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  • Date Published: April 2014
  • availability: Available
  • format: Paperback
  • isbn: 9781107636385

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About the Authors
  • Moduli theory is the study of how objects, typically in algebraic geometry but sometimes in other areas of mathematics, vary in families and is fundamental to an understanding of the objects themselves. First formalised in the 1960s, it represents a significant topic of modern mathematical research with strong connections to many areas of mathematics (including geometry, topology and number theory) and other disciplines such as theoretical physics. This book, which arose from a programme at the Isaac Newton Institute in Cambridge, is an ideal way for graduate students and more experienced researchers to become acquainted with the wealth of ideas and problems in moduli theory and related areas. The reader will find articles on both fundamental material and cutting-edge research topics, such as: algebraic stacks; BPS states and the P = W conjecture; stability conditions; derived differential geometry; and counting curves in algebraic varieties, all written by leading experts.

    • A volume designed to introduce those at the graduate level and above to some of the main ideas and problems in moduli theory
    • Contains lecture notes on both foundational material and cutting-edge research topics
    • Each chapter is written by leading researchers
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    Product details

    • Date Published: April 2014
    • format: Paperback
    • isbn: 9781107636385
    • length: 346 pages
    • dimensions: 226 x 152 x 18 mm
    • weight: 0.46kg
    • availability: Available
  • Table of Contents

    Preface
    1. Introduction to algebraic stacks K. Behrend
    2. BPS states and the P = W conjecture W. Y. Chuang, D.-E. Diaconescu and G. Pan
    3. Representations of surface groups and Higgs bundles P. B. Gothen
    4. Introduction to stability conditions D. Huybrechts
    5. An introduction to d-manifolds and derived differential geometry D. Joyce
    6. 13/2 ways of counting curves R. Pandharipande and R. P. Thomas.

  • Editors

    Leticia Brambila-Paz, Centro de Investigación en Matemáticas A.C. (CIMAT), Mexico
    Leticia Brambila-Paz is an Investigador Titular at CIMAT A. C., Mexico.

    Peter Newstead, University of Liverpool
    Peter Newstead is an Emeritus Professor at the University of Liverpool.

    Richard P. Thomas, Imperial College of Science, Technology and Medicine, London
    Richard Thomas is a Professor at Imperial College London.

    Oscar García-Prada, Consejo Superior de Investigaciones Cientificas, Madrid
    Oscar Garcia-Prada is a Profesor de Investigación at the Consejo Superior de Investigaciones Científicas, Madrid.

    Contributors

    K. Behrend, W. Y. Chuang, D.-E. Diaconescu, G. Pan, P. B. Gothen, D. Huybrechts, D. Joyce, R. Pandharipande, R. P. Thomas

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