Rank-Level duality and Conformal Block divisors

2013/08/04 by Swarnava Mukhopadhyay, Mukhopadhyay, Swarnava
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.AG #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.1308.0854

Proof of conjecture is given and a result about vanishing of conformal blocks divisors is added. To appear in Adv. Math

arxiv created 2015/11/21 · arxiv updated 2015/11/24

Abstract

We describe new relations among conformal block divisors in Pic(M_0,n). These relations appear from various rank-level dualities of conformal blocks on ℙ¹ with n marked points. We also give a coordinate free description of rank-level duality maps on M_g,n.

Related

• Vanishing and identities of conformal blocks divisors
• Remarks on level one conformal blocks divisors
• Conformal blocks divisors on M_0,n from sl₂
• Nonvanishing of conformal blocks divisors on M_0,n
• Rank-level duality of conformal blocks of GL_n and SL_n