Chern classes of conformal blocks

Source abstract

We derive a formula for the Chern classes of the bundles of conformal blocks on M ¯ 0 , n \overline {\mathrm {M}}_{0,n} associated to simple finite dimensional Lie algebras and explore its conseqences in more detail for g = s l 2 \mathfrak {g} = \mathfrak {sl}_2 and for arbitrary g \mathfrak {g} and level 1 1 . We also give a method for computing the first Chern class of such bundles on M ¯ g , n \overline {\mathrm {M}}_{g,n} for g > 0 g>0 .