Diffeomorphsims and Noncommutative Analytic Torsion

Buch | Softcover

56 Seiten

1999
American Mathematical Society (Verlag)
978-0-8218-1189-4 (ISBN)

Infos

Proves an index theorem concerning the pushforward of flat ${/mathfrak B}$-vector bundles, where ${/mathfrak B}$ is an appropriate algebra. This title constructs an associated analytic torsion form ${/mathcal T}$. If $Z$ is a smooth closed aspherical manifold, it shows that ${/mathcal T}$ gives invariants of $/pi_*(/Diff(Z))$.

Inhalt

Introduction Noncommutative bundle theory Groups and covering spaces $/mathfrak B$-Hermitian metrics and characteristic classes Noncommutative superconnections Fiber bundles Diffeomorphism groups References.

Produkt-Details

• Erscheint lt. Verlag: 30.9.1999
• Reihe/Serie: Memoirs of the American Mathematical Society
• Verlagsort: Providence
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 0-8218-1189-4 / 0821811894
• ISBN-13: 978-0-8218-1189-4 / 9780821811894
• Zustand: Neuware