scientific article

zbMath0789.57001MaRDI QIDQ3992563

Peter B. Gilkey

Publication date: 17 September 1992

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

zbMATH Keywords

Mellin transformheat equationconnective \(K\)-theoryDedekind sumsequivariant bordismeta invariant\(K\)-theoryDolbeault complexClifford algebrascharacteristic numberszeta functionsspherical space formpseudo-differential operatorsAtiyah-Singer index theoremMackey functorformal group lawsTodd genus\(\alpha\)-invariantspin bundle\(p\)-Sylow subgroupequivariant eta invariantspherical space form groupbordism spectral sequenceflatness of iterated jet bundlesHattori-Stong theoremmetacyclic spherical space form groupsoperators of Dirac type on real projective spaceself-adjoint elliptic differential operators

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Index theory and related fixed-point theorems on manifolds (58J20) Applications of global analysis to structures on manifolds (57R57) Eta-invariants, Chern-Simons invariants (58J28) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Equivariant cobordism (57R85)

Related Items (10)

The eta invariant and metrics of positive scalar curvature ⋮ The anomaly that was not meant IIB ⋮ Global anomalies and bordism invariants in one dimension ⋮ Higher eta-invariants ⋮ Cobordism conjecture, anomalies, and the String Lamppost Principle ⋮ Dirac operators with \(W^{1,\infty}\)-potential on collapsing sequences losing one dimension in the limit ⋮ An index theorem for end-periodic operators ⋮ The Dirac operator under collapse to a smooth limit space ⋮ Spinning particles, braid groups and solitons ⋮ Positive scalar curvature, diffeomorphisms and the Seiberg-Witten invariants

This page was built for publication: