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The Callias index formula revisited

Gesztesy, Fritz.

The Callias index formula revisited

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Callias index formula revisitedby Fritz Gesztesy, Marcus Waurick.
Author:	Gesztesy, Fritz.
other author:	Waurick, Marcus.
Published:	Cham :Springer International Publishing :2016.
Description:	ix, 192 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Index theorems.
Online resource:	http://dx.doi.org/10.1007/978-3-319-29977-8
ISBN:	9783319299778$q(electronic bk.)

The Callias index formula revisited
Gesztesy, Fritz.

The Callias index formula revisited[electronic resource] /by Fritz Gesztesy, Marcus Waurick. - Cham :Springer International Publishing :2016. - ix, 192 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21570075-8434 ;. - Lecture notes in mathematics ;2035..

These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much interest in computing Fredholm indices of certain linear partial differential operators. In the late 1970's, Constantine Callias found a formula for the Fredholm index of a particular first-order differential operator (intimately connected to a supersymmetric Dirac-type operator) additively perturbed by a potential, shedding additional light on the Fedosov-Hormander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.

ISBN: 9783319299778$q(electronic bk.)

Standard No.: 10.1007/978-3-319-29977-8doiSubjects--Topical Terms:

750337
Index theorems.

LC Class. No.: QA614.92

Dewey Class. No.: 514.74

The Callias index formula revisited
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