Index in K-theory for families of fibred cusp operators

Simple item page
dc.creatorMelrose, Richard B.
dc.creatorRochon, Frederic
dc.date2005-07-28
dc.date2006-03-04
dc.date.accessioned2026-07-07T06:42:43Z
dc.date.available2026-07-07T06:42:43Z
dc.descriptionA families index theorem in K-theory is given for the setting of Atiyah, Patodi and Singer of a family of Dirac operators with spectral boundary condition. This result is deduced from such a K-theory index theorem for the calculus of cusp, or more generally fibred cusp, pseudodifferential operators on the fibres (with boundary) of a fibration; a version of Poincare duality is also shown in this setting, identifying the stable Fredholm families with elements of a bivariant K-group.
dc.description64 pages, corrected typos
dc.identifierhttps://arxiv.org/abs/math/0507590
dc.identifierhttp://arxiv.org/abs/math/0507590
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102144
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.subject58J40 (Primary) 19K56, 19K35 (Secondary)
dc.titleIndex in K-theory for families of fibred cusp operators
dc.typetext

Files

Collections

arXiv