Analyticity Properties of Spin Systems

In this paper some relation among the Dirac operator on a Riemannian spin-manifold $N$ , its projection on some embedded hypersurface $M$ and the Dirac operator on $M$ with respect to the induced (called standard) spin structure are given.

Thermodynamic limit for mean-field spin models.

Bianchi, A., Contucci, P., Giardina, C. (2003)

Mathematical Physics Electronic Journal [electronic only]

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One-dimensional vertex models associated with a class of Yangian invariant Haldane-Shastry like spin chains.

Basu-Mallick, Bireswar, Bondyopadhaya, Nilanjan, Hikami, Kazuhiro (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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The Dirac operator on collapsing $S^{1}$ -bundles

Bernd Ammann (1997-1998)

Séminaire de théorie spectrale et géométrie

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Spin cobordism determines real K-theory.

Michael J. Hopkins, Mark A. Hovey (1992)

Mathematische Zeitschrift

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The positive mass theorem for ALE manifolds

Mattias Dahl (1997)

Banach Center Publications

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We show what extra condition is necessary to be able to use the positive mass argument of Witten [12] on an asymptotically locally euclidean manifold. Specifically we show that the 'generalized positive action conjecture' holds if one assumes that the signature of the manifold has the correct value.