Lecture Notes on Spin Geometry

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1911.09766 v1 pith:V3OW7VNH submitted 2019-11-21 math.DG

Konstantin Wernli This is my paper · ORCID

classification math.DG

keywords geometryapplicationsatiyah-singerbasicdifferentialgroupsindexknowledge

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We review the Atiyah-Singer Index theorem and some applications. Only basic knowledge of differential geometry and Lie groups is required.

Forward citations

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

The reduced Dirac structure of General Relativity on manifolds with corners
math-ph 2026-07 conditional novelty 7.0 of 10

The reduced corner phase space of Palatini–Cartan gravity is a Dirac structure—the graph of a Poisson bivector—yielding a strict BF2V theory.
A spinor-adapted geometric approach for nonlinear Dirac systems and its application to a tensorial wave-Dirac system near Minkowski spacetime
math.AP 2026-07 conditional novelty 7.0 of 10

Small-data solutions of a nonlinear tensorial wave-Dirac system on non-trapping asymptotically flat spacetimes are shown to exist globally with quantitative weighted-energy decay.