scientific article; zbMATH DE number 1445235

zbMath0967.58014MaRDI QIDQ4952545

Jean-Michel Bismut

Publication date: 28 August 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

surveyanalytic torsionindex theoryRiemann-Roch theoremsuperconnectiondeterminant line bundlesecondary invariantsholomorphic torsioneta forms

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Eta-invariants, Chern-Simons invariants (58J28) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Determinants and determinant bundles, analytic torsion (58J52) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (5)

Duistermaat–Heckman formulas and index theory ⋮ On the relationship of gerbes to the odd families index theorem ⋮ Local index theory and the Riemann–Roch–Grothendieck theorem for complex flat vector bundles ⋮ A volume comparison theorem for characteristic numbers ⋮ Eta-invariants, torsion forms and flat vector bundles

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