Lectures on Chern-Weil theory and Witten Deformations / (Record no. 361)

MARC details
000 -LEADER
fixed length control field 01709cam a22002654a 4500
001 - CONTROL NUMBER
control field vtls000001801
003 - CONTROL NUMBER IDENTIFIER
control field VRT
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250102222428.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 081110s2001 nju |b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9810246862 (pbk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9810246854
039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE]
Level of rules in bibliographic description 201402040055
Level of effort used to assign nonsubject heading access points VLOAD
Level of effort used to assign subject headings 201007311141
Level of effort used to assign classification malmash
Level of effort used to assign subject headings 200811101443
Level of effort used to assign classification venkatrajand
Level of effort used to assign subject headings 200811100914
Level of effort used to assign classification Noora
-- 200811100912
-- Noora
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA613.618
Item number .Z43 2001
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Zhang, Weiping,
Dates associated with a name 1964-
9 (RLIN) 1238
245 10 - TITLE STATEMENT
Title Lectures on Chern-Weil theory and Witten Deformations /
Statement of responsibility, etc. Weiping Zhang.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. River Edge, N.J. :
Name of publisher, distributor, etc. World Scientific,
Date of publication, distribution, etc. c2001.
300 ## - PHYSICAL DESCRIPTION
Extent xi, 117 p. ;
Dimensions 22 cm.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references and index.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chern-Weil theory for characteristic classes; Bott and Duistermaat-Heckman formulas; Gauss-Bonnet-Chern theorem; Poincar -Hopf index formula - an analytic proof; morse inequalities - an analytic proof; Thom-Smale and Witten complexes; Atiyah theorem on Kervaire Semi-characteristic.
520 ## - SUMMARY, ETC.
Summary, etc. Based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics, this volume consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andr Weil, as well as a proof of the Gauss-Bonnet-Chern theorem based on the Mathai-Quillen construction of Thom forms; the second part presents analytic proofs of the Poincar-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Chern classes.
9 (RLIN) 1239
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Index theorems.
9 (RLIN) 1240
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Complexes.
9 (RLIN) 1241
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Suppress in OPAC No
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Total checkouts Full call number Barcode Date last seen Copy number Price effective from Koha item type
    Library of Congress Classification     Library Library First Floor 21/12/2024   QA613.618 .Z43 2001 9561 21/12/2024 1 21/12/2024 Books
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