394 citations · 1.6k across the 41 of their papers we have counts for
Showing 1999Show all
3 papers · 1 filter
math.AG1999★ 1 cited
The Hodge polynomial of \Mbar_{3,1}
E. Getzler, E. Looijenga
We give formulas for the Dolbeault numbers of \Mbar_{3,1}, using the first author's calculations of the weights of the cohomology of M_{2,2} and M_{2,3} and the second author's cal…
math.AG1999★ 1 cited
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★ 6 cited
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…