Bewaard in:
| Hoofdauteurs: | , |
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| Formaat: | Preprint |
| Gepubliceerd in: |
2020
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| Onderwerpen: | |
| Online toegang: | https://arxiv.org/abs/2012.14793 |
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Inhoudsopgave:
- We give a mathematical definition of spaces of irregular vacua/covacua in genus zero, for any simple Lie algebra, working at generic noncritical level. This uses coinvariants of affine-Lie-algebra modules whose parameters match up with those of moduli spaces of irregular-singular meromorphic connections: the de Rham spaces. The Segal--Sugawara representation of the Virasoro algebra is used to show that the spaces of irregular conformal blocks assemble into a flat vector bundle over the space of somonodromy times à la Klarès, and we provide a universal version of the resulting flat connection generalising the irregular KZ connection of Reshetikhin and the dynamical KZ connection of Felder--Markov--Tarasov--Varchenko.