nLab Stephan Stolz

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Selected writings

On elliptic genera:

• Matthias Kreck, Stephan Stolz, $HP^2$-bundles and elliptic homology, Acta Math, 171 (1993) 231-261 (pdf, euclid:acta/1485890737)

Introducing the Stolz conjecture:

• Stephan Stolz, A conjecture concerning positive Ricci curvature and the Witten genus, Mathematische Annalen Volume 304, Number 1 (1996) (doi:10.1007/BF01446319)

On relating topological K-theory and, maybe, elliptic cohomology (at least the Witten genus) to functorial quantum field theory:

• Stephan Stolz, Peter Teichner, What is an elliptic object?

• Stephan Stolz, Peter Teichner, Supersymmetric field theories and generalized cohomology, in Hisham Sati, Urs Schreiber (eds.), Mathematical foundations of Quantum field theory and String theory, Proceedings of Symposia in Pure Mathematics, Volume 83, AMS (2011)

On supermanifolds from the point of view of functorial geometry:

• Henning Hohnhold, Stephan Stolz, Peter Teichner: Super manifolds: an incomplete survey, Bulletin of the Manifold Atlas (2011) 1-6 [webpage, pdf, pdf]

• Henning Hohnhold, Matthias Kreck, Stephan Stolz, Peter Teichner, Sections 2-3 of: Differential forms and 0-dimensional supersymmetric field theories, Quantum Topology Volume 2, Issue 1 (2011) pp. 1–41 (doi:10.4171/QT/12)

Related entries

• Stolz conjecture

• geometric models for tmf

category: people