Strange Duality of Verlinde spaces for G₂ and F₄

2015/04/15 by Swarnava Mukhopadhyay, Mukhopadhyay, Swarnava
Mathematics · #14H60 #17B67 #32G34 #81T40 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1504.03757

openalex publication_date 2015/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the pull back of the canonical theta divisor for E₈-bundles at level one induces a strange duality between Verlinde spaces for G₂ and F₄ at level one on smooth curves of genus g. We also prove a parabolic generalization in terms of conformal blocks and write down identities between conformal blocks divisors in the Picard group of -M_g,n.

Citations

• The Chern character of the Verlinde bundle over the moduli space of stable curves
• Generalized theta linear series on moduli spaces of vector bundles on\n curves

Related

• Strange duality for Verlinde spaces of exceptional groups at level one
• The Chern classes of the Verlinde bundles
• Rank-level duality of conformal blocks of GL_n and SL_n
• Bundles of Verlinde spaces and group actions
• The Verlinde bundles and the semihomogeneous Wirtinger duality