String structures and trivialisations of a Pfaffian line bundle

2009/09/04 by Ulrich Bunke, Bunke, Ulrich · 1 citation
Mathematics · Medicine · #58J28 #58J52 #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications #K-Theory and Homology (math.KT) #Ophthalmology and Eye Disorders

paper · pdf · doi:10.48550/arxiv.0909.0846

openalex publication_date 2009/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The present paper is a contribution to categorial index theory. Its main result is the calculation of the Pfaffian line bundle of a certain family of real Dirac operators as an object in the category of line bundles. Furthermore, it is shown how string structures give rise to trivialisations of that Pfaffian.

Cited by

• The Freed--Quinn line bundle from higher geometry

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