Vanishing and identities of conformal blocks divisors

Abstract

Conformal block divisors in type A on $\bar{M}_{0,{n}}$ are shown to satisfy new symmetries when levels and ranks are interchanged in non-standard ways. A connection with the quantum cohomology of Grassmannians reveals that these divisors vanish above the critical level.

The 2013 preprint arXiv:1308.4906 has been broken up into two parts. The first part "Vanishing and identities of conformal blocks divisors" (30 pages), which will appear in Algebraic Geometry, is uploaded here as a replacement/successor for arXiv:1308.4906v3. The second part "Nonvanishing of conformal blocks divisors on $\bar{M}_{0,n}$" will appear as a separate arxiv preprint