14 citations · 15 across the 7 of their papers we have counts for
7 papers
Positive scalar curvature -- constructions and obstructions
Stephan Stolz
This is a survey of the current state of the question "Which closed connected manifolds of dimension admit Riemannian metrics whose scalar curvature function is everywhere…
An invariant related to the existence of conformally compact Einstein fillings
Matthew J. Gursky, Qing Han, Stephan Stolz
We define an invariant for compact spin manifolds of dimension equipped with a metric of positive Yamabe invariant on its boundary. The vanishing of this invariant is…
Supersymmetric field theories and generalized cohomology
Stephan Stolz, Peter Teichner
This survey discusses our results and conjectures concerning supersymmetric field theories and their relationship to cohomology theories. A careful definition of supersymmetric Euc…
Traces in monoidal categories
Stephan Stolz, Peter Teichner
The main result of this paper is the construction of a trace and a trace pairing for endomorphisms satisfying suitable conditions in a monoidal category. This construction is a com…
A diffeomorphism classification of manifolds which are like projective planes
Linus Kramer, Stephan Stolz
We give a complete diffeomorphism classification of 1-connected manifolds (of dimension different from 4) whose integral homology is H(M)=Z+Z+Z.
Remarks on a conjecture of Gromov and Lawson
William Dwyer, Thomas Schick, Stephan Stolz
Gromov and Lawson conjectured that a closed spin manifold M of dimension n with fundamental group pi admits a metric with positive scalar curvature if and only if an associated ele…
A ``stable'' version of the Gromov-Lawson conjecture
Jonathan Rosenberg, Stephan Stolz
We discuss a conjecture of Gromov and Lawson, later modified by Rosenberg, concerning the existence of metrics of positive scalar curvature. It says that a closed spin manifold …