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arXiv · 1504.03757

Strange Duality of Verlinde spaces for G_2 and F_4

Swarnava Mukhopadhyay
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Abstract

We prove that the pull back of the canonical theta divisor for E_8-bundles at level one induces a strange duality between Verlinde spaces for G_2 and F_4 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 \bar-M_{g,n}.

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Swarnava Mukhopadhyay. 2015-04-15. Strange Duality of Verlinde spaces for G_2 and F_4. https://arxiv.org/abs/1504.03757

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