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Basic Bundle Theory and K-Cohomology Invariants

Overview of attention for book
Cover of 'Basic Bundle Theory and K-Cohomology Invariants'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Physical Background to the K-Theory Classification of D-Branes: Introduction and References
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    Chapter 2 Generalities on Bundles and Categories
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    Chapter 3 Vector Bundles
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    Chapter 4 Relation Between Vector Bundles, Projective Modules, and Idempotents
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    Chapter 5 K-Theory of Vector Bundles, of Modules, and of Idempotents
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    Chapter 6 Principal Bundles and Sections of Fibre Bundles: Reduction of the Structure and the Gauge Group I
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    Chapter 7 Homotopy Classes of Maps and the Homotopy Groups
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    Chapter 8 The Milnor Construction: Homotopy Classification of Principal Bundles
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    Chapter 9 Fibrations and Bundles: Gauge Group II
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    Chapter 10 Cohomology Classes as Homotopy Classes: CW-Complexes
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    Chapter 11 Basic Characteristic Classes
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    Chapter 12 Characteristic Classes of Manifolds
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    Chapter 13 Spin Structures
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    Chapter 14 G-Spaces, G-Bundles, and G-Vector Bundles
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    Chapter 15 Equivariant K -Theory Functor K G : Periodicity, Thom Isomorphism, Localization, and Completion
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    Chapter 16 Bott Periodicity Maps and Clifford Algebras
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    Chapter 17 Gram–Schmidt Process, Iwasawa Decomposition, and Reduction of Structure in Principal Bundles
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    Chapter 18 Topological Algebras: G -Equivariance and KK -Theory
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    Chapter 19 Isomorphism Classification of Operator Algebra Bundles
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    Chapter 20 Brauer Group of Matrix Algebra Bundles and K -Groups
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    Chapter 21 Analytic Definition of Twisted K -Theory
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    Chapter 22 The Atiyah–Hirzebruch Spectral Sequence in K -Theory
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    Chapter 23 Twisted Equivariant K -Theory and the Verlinde Algebra
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    Chapter 24 Bundle Gerbes
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    Chapter 25 Category Objects and Groupoid Gerbes
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    Chapter 26 Stacks and Gerbes
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    Chapter 27 Erratum
Overall attention for this book and its chapters
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Mentioned by

wikipedia
2 Wikipedia pages

Citations

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25 Dimensions

Readers on

mendeley
36 Mendeley
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Title
Basic Bundle Theory and K-Cohomology Invariants
Published by
ADS, December 2007
DOI 10.1007/978-3-540-74956-1
ISBNs
978-3-54-074955-4, 978-3-54-074956-1
Authors

Husemöller, D., Joachim, M., Jurčo, B., Schottenloher, M.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 36 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 1 3%
Germany 1 3%
Unknown 34 94%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 16 44%
Researcher 6 17%
Student > Master 3 8%
Professor > Associate Professor 2 6%
Professor 2 6%
Other 3 8%
Unknown 4 11%
Readers by discipline Count As %
Mathematics 18 50%
Physics and Astronomy 10 28%
Arts and Humanities 1 3%
Computer Science 1 3%
Engineering 1 3%
Other 0 0%
Unknown 5 14%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 3. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 24 November 2022.
All research outputs
#7,602,582
of 23,179,757 outputs
Outputs from ADS
#9,350
of 37,556 outputs
Outputs of similar age
#41,755
of 157,402 outputs
Outputs of similar age from ADS
#132
of 461 outputs
Altmetric has tracked 23,179,757 research outputs across all sources so far. This one is in the 44th percentile – i.e., 44% of other outputs scored the same or lower than it.
So far Altmetric has tracked 37,556 research outputs from this source. They receive a mean Attention Score of 4.6. This one is in the 29th percentile – i.e., 29% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 157,402 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 18th percentile – i.e., 18% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 461 others from the same source and published within six weeks on either side of this one. This one is in the 20th percentile – i.e., 20% of its contemporaries scored the same or lower than it.