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Moduli spaces

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Moduli spaces/ edited by Leticia Brambila-Paz ... [et al.].
其他作者:	Brambila-Paz, Leticia.
出版者:	Cambridge :Cambridge University Press, : 2014.,
面頁冊數:	xi, 333 p. :ill., digital ; : 24 cm.;
標題:	Moduli theory. -
電子資源:	https://doi.org/10.1017/CBO9781107279544
ISBN:	9781107279544

Moduli spaces
Moduli spaces[electronic resource] /edited by Leticia Brambila-Paz ... [et al.]. - Cambridge :Cambridge University Press,2014. - xi, 333 p. :ill., digital ;24 cm. - London Mathematical Society lecture note series ;411. - London Mathematical Society lecture note series ;382..

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

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.

ISBN: 9781107279544Subjects--Topical Terms:

681816
Moduli theory.

LC Class. No.: QA564 / .M643 2014

Dewey Class. No.: 516.35

Moduli spaces
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505 0 $a Introduction to algebraic stacks / K. Behrend -- BPS states and the P = W conjecture / W.Y. Chuang, D.-E. Diaconescu and G. Pan -- Representations of surface groups and Higgs bundles / Peter B. Gothen -- Introduction to stability conditions / D. Huybrechts -- An introduction to d-manifolds and derived differential geometry / Dominic Joyce -- 13/2 ways of counting curves / R. Pandharipande and R.P. Thomas.
520 $a 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.
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