The Geometry of Spherical Space Form Groups

DOI10.1142/10467zbMath1395.57001OpenAlexW624542874MaRDI QIDQ4975079

Peter B. Gilkey

Publication date: 8 August 2017

Published in: Series in Pure Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/10467

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)

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