English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper studies spaces of generalized theta functions for odd orthogonalbundles with nontrivial Stiefel-Whitney class and the associated space oftwisted spin bundles. In particular, we prove a Verlinde type formula and adimension equality that was conjectured by Oxbury-Wilson. Modifying Hitchin'sargument, we also show that the bundle of generalized theta functions fortwisted spin bundles over the moduli space of curves admits a flat projectiveconnection. We furthermore address the issue of strange duality for oddorthogonal bundles, and we demonstrate that the naive conjecture fails ingeneral. A consequence of this is the reducibility of the projectiverepresentations of spin mapping class groups arising from the Hitchinconnection for these moduli spaces. Finally, we answer a question ofNakanishi-Tsuchiya about rank-level duality for conformal blocks on the pointedprojective line with spin weights.

Generalized theta functions, strange duality, and odd orthogonal bundles on curves