Lectures on Chern-Weil theory and Witten Deformations / (Record no. 361)
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000 -LEADER | |
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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 |
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 |
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Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | QA613.618 .Z43 2001 | 9561 | 21/12/2024 | 1 | 21/12/2024 | Books |