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Differential geometry through supersymmetric glasses

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differential geometry through supersymmetric glassesA.V. Smilga.
Author:	Smilga, A. V.
Published:	Singapore :World Scientific,c2020.
Description:	1 online resource (viii, 337 p.)
Subject:	Geometry, Differential.
Online resource:	https://www.worldscientific.com/worldscibooks/10.1142/11457#t=toc
ISBN:	9789811206788$q(ebook)

Differential geometry through supersymmetric glasses
Smilga, A. V.

Differential geometry through supersymmetric glasses[electronic resource] /A.V. Smilga. - Singapore :World Scientific,c2020. - 1 online resource (viii, 337 p.)

Includes bibliographical references and index.

"Back in 1982, Edward Witten noticed that classical problems of differential geometry and differential topology such as the de Rham complex and Morse theory can be described in a very simple and transparent way using the language of supersymmetric quantum mechanics. Since then, many research papers have been written on this subject. Unfortunately not all the results in this field known to mathematicians have obtained a transparent physical interpretation, even if this new physical technique has also allowed many mathematical results to be derived which are completely new, in particular, hyper-Kaehler and the so-called HKT geometry. But in almost 40 years, no comprehensive monograph has appeared on this subject. So this book written by an expert in supersymmetric quantum field theories, supersymmetric quantum mechanics and its geometrical applications, addresses this yearning gap. It comprises three parts: The first, GEOMETRY, gives basic information on the geometry of real, complex, hyper-Kaehler and HKT manifolds, and is principally addressed to the physicist. The second part "PHYSICS" presents information on classical mechanics with ordinary and Grassmann dynamics variables. Besides, the author introduces supersymmetry and dwells in particular on the representation of supersymmetry algebra in superspace. And the last and most important part of the book "SYNTHESIS", is where the ideas borrowed from physics are used to study purely mathematical phenomena"--Publisher's website.

Mode of access: World Wide Web.

ISBN: 9789811206788$q(ebook)Subjects--Topical Terms:

182610
Geometry, Differential.

LC Class. No.: QC20.7.D52 / S65 2020

Dewey Class. No.: 516.36

Differential geometry through supersymmetric glasses
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100 1 $a Smilga, A. V. $3 931257
245 1 0 $a Differential geometry through supersymmetric glasses $h [electronic resource] / $c A.V. Smilga.
260 $a Singapore : $b World Scientific, $c c2020.
300 $a 1 online resource (viii, 337 p.)
504 $a Includes bibliographical references and index.
520 $a "Back in 1982, Edward Witten noticed that classical problems of differential geometry and differential topology such as the de Rham complex and Morse theory can be described in a very simple and transparent way using the language of supersymmetric quantum mechanics. Since then, many research papers have been written on this subject. Unfortunately not all the results in this field known to mathematicians have obtained a transparent physical interpretation, even if this new physical technique has also allowed many mathematical results to be derived which are completely new, in particular, hyper-Kaehler and the so-called HKT geometry. But in almost 40 years, no comprehensive monograph has appeared on this subject. So this book written by an expert in supersymmetric quantum field theories, supersymmetric quantum mechanics and its geometrical applications, addresses this yearning gap. It comprises three parts: The first, GEOMETRY, gives basic information on the geometry of real, complex, hyper-Kaehler and HKT manifolds, and is principally addressed to the physicist. The second part "PHYSICS" presents information on classical mechanics with ordinary and Grassmann dynamics variables. Besides, the author introduces supersymmetry and dwells in particular on the representation of supersymmetry algebra in superspace. And the last and most important part of the book "SYNTHESIS", is where the ideas borrowed from physics are used to study purely mathematical phenomena"--Publisher's website.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
588 $a Description based on print version record.
650 0 $a Geometry, Differential. $3 182610
650 0 $a Mathematical physics. $3 190854
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/11457#t=toc