Eta Invariant and Conformal Cobordism

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dc.creatorDai, Xianzhe
dc.date2001-06-20
dc.date2001-06-21
dc.date.accessioned2026-07-07T04:42:15Z
dc.date.available2026-07-07T04:42:15Z
dc.descriptionIn this note we study the problem of conformally flat structures bounding conformally flat structures and show that the eta invariants give obstructions. These lead us to the definition of an abelian group, the conformal cobordism group, which classifies the conformally flat structures according to whether they bound (higher dimensional) conformally flat structures in a conformally invariant way. The eta invariant gives rise to a homomorphism from this group to the circle group, which can be highly nontrivial. It remains an interesting question of how to compute this group.
dc.identifierhttps://arxiv.org/abs/math/0106172
dc.identifierhttp://arxiv.org/abs/math/0106172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61698
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject58Jxx; 53A30; 57Q20
dc.titleEta Invariant and Conformal Cobordism
dc.typetext

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