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0.3%0.5%0.8%0.5% · Jul 200819922001200920182026
5 results for Morava E-theory

Several formulas for computing coarse indices of twisted Dirac type operators are introduced. One type of such formulas is by composition product in EE-theory. The other type is by module multiplications in KK-theory, which also yields an index theoretic interpretation of the duality between Roe algebra and stable Hi…

2016-06-03abs ↗pdf ↗

This paper deals with the question of J.Morava on existence of canonical complex cobordism class of singular submanifold. We present several solutions of this question for Xr(ξ)X_r(ξ) -- the set of points where dimξr+1\dimξ-r+1 generic sections of a complex vector bundle ξξ are linearly dependent. The corresponding complex co…

2008-07-30abs ↗pdf ↗

We consider spectral sequences in smooth generalized cohomology theories, including differential generalized cohomology theories. The main differential spectral sequences will be of the Atiyah-Hirzebruch (AHSS) type, where we provide a filtration by the Cech resolution of smooth manifolds. This allows for systematic st…

2016-05-11abs ↗pdf ↗