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A gentle introduction to homological mirror symmetry

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A gentle introduction to homological mirror symmetry/ Raf Bocklandt, University of Amsterdam.
作者:	Bocklandt, Raf.
出版者:	Cambridge :Cambridge University Press, : 2021.,
面頁冊數:	xi, 390 p. :ill., digital ; : 24 cm.;
附註:	Title from publisher's bibliographic system (viewed on 20 Aug 2021).
標題:	Homology theory. -
電子資源:	https://doi.org/10.1017/9781108692458
ISBN:	9781108692458

A gentle introduction to homological mirror symmetry
Bocklandt, Raf.

A gentle introduction to homological mirror symmetry[electronic resource] /Raf Bocklandt, University of Amsterdam. - Cambridge :Cambridge University Press,2021. - xi, 390 p. :ill., digital ;24 cm. - London Mathematical Society student texts ;99. - London Mathematical Society student texts ;81..

Title from publisher's bibliographic system (viewed on 20 Aug 2021).

Homological mirror symmetry has its origins in theoretical physics but is now of great interest in mathematics due to the deep connections it reveals between different areas of geometry and algebra. This book offers a self-contained and accessible introduction to the subject via the representation theory of algebras and quivers. It is suitable for graduate students and others without a great deal of background in homological algebra and modern geometry. Each part offers a different perspective on homological mirror symmetry. Part I introduces the A-infinity formalism and offers a glimpse of mirror symmetry using representations of quivers. Part II discusses various A- and B-models in mirror symmetry and their connections through toric and tropical geometry. Part III deals with mirror symmetry for Riemann surfaces. The main mathematical ideas are illustrated by means of simple examples coming mainly from the theory of surfaces, helping the reader connect theory with intuition.

ISBN: 9781108692458Subjects--Topical Terms:

682984
Homology theory.

LC Class. No.: QC174.17.S9 / B63 2021

Dewey Class. No.: 516.36

A gentle introduction to homological mirror symmetry
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500 $a Title from publisher's bibliographic system (viewed on 20 Aug 2021).
520 $a Homological mirror symmetry has its origins in theoretical physics but is now of great interest in mathematics due to the deep connections it reveals between different areas of geometry and algebra. This book offers a self-contained and accessible introduction to the subject via the representation theory of algebras and quivers. It is suitable for graduate students and others without a great deal of background in homological algebra and modern geometry. Each part offers a different perspective on homological mirror symmetry. Part I introduces the A-infinity formalism and offers a glimpse of mirror symmetry using representations of quivers. Part II discusses various A- and B-models in mirror symmetry and their connections through toric and tropical geometry. Part III deals with mirror symmetry for Riemann surfaces. The main mathematical ideas are illustrated by means of simple examples coming mainly from the theory of surfaces, helping the reader connect theory with intuition.
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