@PhdThesis{duepublico_mods_00079087,
  author = 	{D'Angelo, Alessandro},
  title = 	{Virtual Localization Formula for Witt Theory},
  year = 	{2023},
  month = 	{Oct},
  day = 	{09},
  abstract = 	{In this thesis, we extend the Virtual Localization Formula to a wide class of motivic ring spectra, obtaining in particular a localization formula for virtual fundamental classes in Witt theory KW. We extend to general spectra the notions and operations of equivariant bivariant theories. Then we specialise to SL[$\eta$-1]-oriented spectra A, obtaining a presentations of A(BN) (where N is the normaliser of the torus in SL2), and an Atiyah-Bott localization theorem for AN(X), for X a scheme equipped with an N-action. Of independent interest, we also describe the ring structure of KW(BN) and give a complete computation of KW-valued Euler classes for all rank two vector bundles over BN.},
  doi = 	{10.17185/duepublico/79087},
  url = 	{https://duepublico2.uni-due.de/receive/duepublico_mods_00079087},
  url = 	{https://doi.org/10.17185/duepublico/79087},
  file = 	{:https://duepublico2.uni-due.de/servlets/MCRFileNodeServlet/duepublico_derivate_00078622/Diss_DAngelo.pdf:PDF},
  language = 	{en}
}