Slices of hermitian K-theory and Milnor's conjecture on quadratic forms

DC FieldValueLanguage
dc.contributor.authorRondigs, Oliver
dc.contributor.authorOstvaer, Paul Arne
dc.date.accessioned2021-12-23T16:09:46Z-
dc.date.available2021-12-23T16:09:46Z-
dc.date.issued2016
dc.identifier.issn14653060
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/8984-
dc.description.abstractWe advance the understanding of K-theory of quadratic forms by computing the slices of the motivic spectra representing hermitian K-groups and Witt groups. By an explicit computation of the slice spectral sequence for higher Witt theory, we prove Milnor's conjecture relating Galois cohomology to quadratic forms via the filtration of the Witt ring by its fundamental ideal. In a related computation we express hermitian K-groups in terms of motivic cohomology.
dc.language.isoen
dc.publisherGEOMETRY & TOPOLOGY PUBLICATIONS
dc.relation.ispartofGEOMETRY & TOPOLOGY
dc.subjectMathematics
dc.subjectMODULES
dc.subjectMOTIVIC COHOMOLOGY
dc.subjectPROOF
dc.subjectSEQUENCE
dc.subjectSUSLIN
dc.titleSlices of hermitian K-theory and Milnor's conjecture on quadratic forms
dc.typejournal article
dc.identifier.doi10.2140/gt.2016.20.1157
dc.identifier.isiISI:000384751800009
dc.description.volume20
dc.description.issue2
dc.description.startpage1157
dc.description.endpage1212
dc.contributor.orcid0000-0002-4049-3765
dc.identifier.eissn13640380
dc.publisher.placeUNIV WARWICK, MATHEMATICS INST, COVENTRY CV4 7AL, ENGLAND
dcterms.isPartOf.abbreviationGeom. Topol.
dcterms.oaStatusGreen Submitted
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidRoOl401-
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