186 citations · 489 across the 41 of their papers we have counts for
5 papers · 1 filter
Mapping Class Groups and Moduli Spaces of Curves
Richard Hain, Eduard Looijenga
This is a survey paper that also contains some new results. It will appear in the proceedings of the AMS summer research institute on Algebraic Geometry at Santa Cruz.
A Lie algebra attached to a projective variety
Eduard Looijenga, Valery L. Lunts
Each choice of a Kähler class on a compact complex manifold defines an action of the Lie algebra $\slt$ on its total complex cohomology. If a nonempty set of such Kähler classes is…
On the tautological ring of $\M _g$
Eduard Looijenga
We prove among other things that any product of tautological classes of $\M_g$ of degree (in the Chow ring of $\M _g$ with rational coefficients) vanishes for and is pr…
Cellular decompositions of compactified moduli spaces of pointed curves
Eduard Looijenga
To a closed connected oriented surface of genus and a nonempty finite subset of is associated a simplicial complex (the arc complex) that plays a basic r\^ ole in u…
Stable cohomology of the mapping class group with symplectic coefficients and of the universal Abel-Jacobi map
Eduard Looijenga
This replacement corrects statement and proof of the main result. Also, a section on the universal Abel-Jacobi map has been added.