id author title date pages extension mime words sentence flesch summary cache txt n870zp4161b Florentiu Daniel Cibotaru Localization Formulae in odd K-theory 2010 .txt text/plain 103 5 42 We describe a class of real Banach manifolds, which classify $K^{-1}$. These manifolds are Grassmannians of (hermitian) lagrangian subspaces in a complex Hilbert space. We use these Schubert varieties to describe the Poincare duals of the pull-backs to the parameter space of the cohomology ring generators. cache/n870zp4161b.txt txt/n870zp4161b.txt