The character map in non-abelian cohomology : twisted, differential, and generalized

The character map in non-abelian cohomology twisted, differential, and generalized

Model category theory -- Non-Abelian cohomology theories -- Twisted non-Abelian cohomology -- DGC-algebras and L[infinity]-algebras -- R-rational homotopy theory -- Non-Abelian de Rham theorem -- Chern-Dold character -- Chern-Weil homomorphism -- Cheeger-Simons homomorphism -- Twisted Chern characte...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Fiorenza, Domenico (VerfasserIn)
Weitere Verfasser: Sati, Hisham (VerfasserIn), Schreiber, Urs (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: New Jersey, London, Singapore, Beijing, Shanghai, Hong Kong, Taipei, Chennai, Tokyo World Scientific 2024
Schlagworte:
Cohomology operations > Non-Abelian groups > Nichtabelsche Kohomologie > Chern-Charakter > Twistabbildung > Rationale Homotopietheorie > Differentialform > K-Theorie > Yang-Mills-Theorie
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Beschreibung
Zusammenfassung:Model category theory -- Non-Abelian cohomology theories -- Twisted non-Abelian cohomology -- DGC-algebras and L[infinity]-algebras -- R-rational homotopy theory -- Non-Abelian de Rham theorem -- Chern-Dold character -- Chern-Weil homomorphism -- Cheeger-Simons homomorphism -- Twisted Chern character on higher K-theory -- Twisted differential non-Abelian character -- Twisted character on twisted differential Cohomotopy.
"Presents a novel development in fundamental aspects of algebraic topology and mathematical physics: existing "extra-ordinary" and further generalized Cohomology theories enhanced to "twisted", differential, and non-abelian Cohomology. Contains many examples and applications, as well as background materials for advanced students"--
Beschreibung:Literaturverzeichnis: Seite 205-231
Beschreibung:x, 237 Seiten
Diagramme
24 cm
ISBN:9789811276699
978-981-12-7669-9