Coverart for item
The Resource Geometry of principal sheaves, by Efstathios Vassiliou

Geometry of principal sheaves, by Efstathios Vassiliou

Label
Geometry of principal sheaves
Title
Geometry of principal sheaves
Statement of responsibility
by Efstathios Vassiliou
Creator
Subject
Language
eng
Summary
The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth models of physical phenomena and spaces with singularities. Starting with a brief survey of the required sheaf theory and cohomology, the exposition then moves on to differential triads (the abstraction of smooth manifolds) and Lie sheaves of groups (the abstraction of Lie groups). Having laid the groundwork, the main part of the book is devoted to the theory of connections on principal sheaves, incorporating connections on vector and associated sheaves. Topics such as the moduli sheaf of connections, classification of principal sheaves, curvature, flat connections and flat sheaves, Chern-Weil theory, are also treated. The study brings to light fundamental notions and tools of the standard differential geometry which are susceptible of the present abstraction, and whose role remains unexploited in the classical context, because of the abundance of means therein. However, most of the latter are nonsensical in ADG
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Vassiliou, E.
Dewey number
516.36
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA612.36
LC item number
.V37 2005eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Mathematics and its applications Dordrecht
Series volume
vol. 578
http://library.link/vocab/subjectName
  • Geometry, Differential
  • MATHEMATICS
  • Geometry, Differential
Label
Geometry of principal sheaves, by Efstathios Vassiliou
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Sheaves and all that -- The category of differential triads -- Lie sheaves of groups -- Principal sheaves -- Vector and associated sheaves -- Connections on principal sheaves -- Connections on vector and associated sheaves -- Curvature -- Chern-Weil theory -- Applications and further examples -- Bibliography -- List of symbols -- Subject index
Control code
209846102
Dimensions
unknown
Extent
1 online resource (xvi, 444 pages)
Form of item
online
Isbn
9781402034169
Lccn
2005296371
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/1-4020-3416-4
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-1-4020-3415-2
Specific material designation
remote
System control number
(OCoLC)209846102
Label
Geometry of principal sheaves, by Efstathios Vassiliou
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Sheaves and all that -- The category of differential triads -- Lie sheaves of groups -- Principal sheaves -- Vector and associated sheaves -- Connections on principal sheaves -- Connections on vector and associated sheaves -- Curvature -- Chern-Weil theory -- Applications and further examples -- Bibliography -- List of symbols -- Subject index
Control code
209846102
Dimensions
unknown
Extent
1 online resource (xvi, 444 pages)
Form of item
online
Isbn
9781402034169
Lccn
2005296371
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/1-4020-3416-4
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-1-4020-3415-2
Specific material designation
remote
System control number
(OCoLC)209846102

Library Locations

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      38.944491 -92.326012
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