Moduli Spaces

Leticia Brambila-Paz, Peter Newstead (University of Liverpool), Richard P. Thomas (Imperial College of Science, Technology and Medicine, London) , Oscar García-Prada (Consejo Superior de Investigaciones Cientificas, Madrid)

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English

Cambridge University Press
13 March 2014

Mathematics; Number theory; Algebraic geometry; Topology; Algebraic topology

Series: London Mathematical Society Lecture Note Series

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.

Edited by: Leticia Brambila-Paz, Peter Newstead (University of Liverpool), Richard P. Thomas (Imperial College of Science, Technology and Medicine, London), Oscar García-Prada (Consejo Superior de Investigaciones Cientificas, Madrid)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 411
Dimensions: Height: 226mm, Width: 152mm, Spine: 18mm
Weight: 550g
ISBN: 9781107636385
ISBN 10: 1107636388
Series: London Mathematical Society Lecture Note Series
Pages: 346
Publication Date: 13 March 2014
Audience: Professional and scholarly , Professional and scholarly , Undergraduate , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

Leticia Brambila-Paz is an Investigador Titular at CIMAT A. C., Mexico. Peter Newstead is an Emeritus Professor at the University of Liverpool. Richard Thomas is a Professor at Imperial College London. Oscar Garcia-Prada is a Profesor de Investigación at the Consejo Superior de Investigaciones Científicas, Madrid.