title: The special linear version of the projective bundle theorem
metadata.name: dc.contributor.author
metadata.value: Ananyevskiy, Alexey
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-04-07T13:13:11Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-04-07T13:13:11Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2015-03
metadata.lang: -
metadata.name: dc.identifier
metadata.value: 10.1112/S0010437X14007702
metadata.lang: -
metadata.name: dc.identifier.issn
metadata.value: 10.1112/S0010437X14007702
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/1910
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A special linear Grassmann variety SGr(k,n) is the complement to the zero
  section of the determinant of the tautological vector bundle over Gr(k,n). For
  a representable ring cohomology theory A(-) with a special linear orientation
  and invertible stable Hopf map \eta, including Witt groups and MSL[\eta^{-1}],
  we have A(SGr(2,2n+1))=A(pt)[e]/(e^{2n}), and A(SGr(2,2n)) is a truncated
  polynomial algebra in two variables over A(pt). A splitting principle for such
  theories is established. We use the computations for the special linear
  Grassmann varieties to calculate A(BSL_n) in terms of the homogeneous power
  series in certain characteristic classes of the tautological bundle.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The special linear version of the projective bundle theorem
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: MSLBSL_v3.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/1910/1/MSLBSL_v3.pdf
resources.format: Adobe PDF
resources.description: Preprint version
resources.size: 462,02 kB