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math.AG1999
Euler characteristics of local systems on
Ezra Getzler
We calculate the Euler characteristics of the local systems S^k(V) \otimes S^l\Wedge^2(V) on the moduli space M_2 of curves of genus 2, where V is the rank 4 local system R^1π_*C.
math.KT1999
The homology groups of some two-step nilpotent Lie algebras associated to symplectic vector spaces
E. Getzler
Let H be a symplectic vector space, let V be a vector space, and consider the nilpotent Lie algebra L_H(V) = H \otimes V + S^2(V) with bracket [(h_1 \otimes v_1;a_1),(h_2 \otimes v…