• Getzler rescaling via adiabatic deformation and a renormalized local index formula 

      [OWP-2016-18] Bohlen, Karsten; Schrohe, Elmar (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)
      We prove a local index theorem of Atiyah-Singer type for Dirac operators on manifolds with a Lie structure at infinity (Lie manifolds for short). After introducing a renormalized supertrace on Lie manifolds with spin ...
    • Killing Tensors on Tori 

      [OWP-2016-20] Heil, Konstantin; Moroianu, Andrei; Semmelmann, Uwe (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-10)
      We show that Killing tensors on conformally at n-dimensional tori whose conformal factor only depends on one variable, are polynomials in the metric and in the Killing vector fields. In other words, every first integral ...
    • Legendrian Lens Space Surgeries 

      [OWP-2016-10] Geiges, Hansjörg; Onaran, Sinem (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
      We show that every tight contact structure on any of the lens spaces $L(ns^2 - s + 1,s^2)$ with $n\geq 2, s \geq 1$, can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative ...