Joseph Lawrence Bernd

Bernd Ammann

Let M be a compact manifold with a fixed spin structure χ. The Atiyah-Singer index theorem implies that for any metric g on M the dimension of the kernel of the Dirac operator is bounded from below by a topological quantity depending only on M and χ. We show that for generic metrics on M this bound is attained.

Bernd Ammann , Mattias Dahl

We associate to a compact spin manifoldM a real-valued invariant τ(M) by taking the supremum over all conformal classes of the infimum inside each conformal class of the first positive Dirac eigenvalue, when the metrics are normalized to unit volume. This invariant is a spinorial analogue of Schoen’s σ-constant, also known as the smooth Yamabe invariant. We prove that if N is obtained from M by...

Joseph

as good as his little sister Maria. He does nothing but play marbles. I can't even send him to the store because he never brings home what I tell him to." The general tenor of this dissertation was repeated every time I saw her in the future. I devoted my first lesson to letting Joseph read the story of The Little Red Hen, pp. 1-9, Winston Primer. He read with great difficulty, spelling the wor...

The State of PEP ? Bernd

The PEP tool can be considered to be one of the most widely distributed Petri net based tools. A continuously increasing functionality and an adequate graphical user interface may have been good reasons for its acceptance. Currently the tool contains approximately 500,000 lines of source code, and supports (to the best of our knowledge) the widest variety of input formalisms and veriication met...

Lawrence Kruger