
Moduli Spaces
Cambridge University Press
Published on 13. March 2014
Book
Paperback/Softback
346 pages
978-1-107-63638-5 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 19 mm
Weight
502 gr
ISBN-13
978-1-107-63638-5 (9781107636385)
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Schweitzer Classification
Other editions
Additional editions

Leticia Brambila-Paz
Moduli Spaces
E-Book
03/2014
Cambridge University Press
€55.49
Available for download

Leticia Brambila-Paz | Peter Newstead | Richard P. Thomas
Moduli Spaces
E-Book
02/2014
1st Edition
Cambridge University Press
€66.49
Available for download
Persons
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 Investigacion at the Consejo Superior de Investigaciones Cientificas, Madrid.
Editor
University of Liverpool
Imperial College of Science, Technology and Medicine, London
Consejo Superior de Investigaciones Cientificas, Madrid
Content
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.