Nonrelativistic Fermi liquids in d+1 dimensions exhibit generalized Fermi surfaces: (d-p)-dimensional submanifolds in the (k,omega)-space supporting gapless excitations. We show that the universality classes of stable Fermi surfaces are classified by K theory, with the pattern of stability determined by Bott periodicity. The Atiyah-Bott-Shapiro construction implies that the low-energy modes nea...

5 Boris Litsanov, Melanie Brocker, and Michael Bott 6 Institut für Biound Geowissenschaften, IBG-1: Biotechnologie, 7 Forschungszentrum Jülich, D-52425 Jülich, Germany 8 9 Running title: Anaerobic succinate production with Corynebacterium glutamicum 10 11 *Corresponding author: 12 Prof. Dr. Michael Bott 13 Institut für Biound Geowissenschaften 14 IBG-1: Biotechnologie 15 Forschungszentrum Jülic...

It is shown that a small cover (resp. real moment-angle manifold) over a simple polytope is an infra-solvmanifold if and only if it is diffeomorphic to a real Bott manifold (resp. flat torus). Moreover, we obtain several equivalent conditions for a small cover being homeomorphic to a real Bott manifold. In addition, we study Riemannian metrics on small covers and real momentangle manifolds with...

This brief is concerned with the realization problem of biquadratic impedances, motivated by the recent development in passive mechanical control. This brief generalizes a realization procedure of a special class of biquadratic impedances to a more general form, and the resulting series–parallel RLC networks whose elements are no more than those in Bott–Duffin’s networks are obtained without mi...