activity
19942023
most citedOn the tautological ring of $\M _g$

186 citations · 489 across the 41 of their papers we have counts for

collaborators

50 papers

math.AG2023

Moduli spaces and period mappings of genus one fibered K3 surfaces

Benson Farb, Eduard Looijenga

In this paper we construct various moduli spaces of K3 surfaces equipped with a surjective holomorphic map $π:M\to\Pb^1$ with generic fiber a complex torus (e.g., an elliptic f…

math.AG2022★ 4 cited

A ball quotient parametrizing trigonal genus 4 curves

Eduard Looijenga

We consider the moduli space of genus 4 curves endowed with a (which maps with degree 2 onto the moduli space of genus 4 curves). We prove that it defines a degree $\frac{1…

math.AG2021★ 1 cited

Conformal blocks and the cohomology of configuration spaces of curves

Eduard Looijenga

We realize any space of conformal blocks attached to a punctured curve inside the cohomology of a configuration space of that curve and compare the WZW connection with the Gauss-Ma…

math.AG2021

Monodromy and period map of the Winger Pencil

Eduard Looijenga, Yunpeng Zi

The sextic plane curves that are invariant under the standard action of the icosahedral group on the projective plane make up a pencil of genus ten curves (spanned by a sum of six…

math.GT2021★ 1 cited

Arithmetic representations of mapping class groups

Eduard Looijenga

Let be a closed oriented surface and a finite group of orientation preserving automorphisms of whose orbit space has genus at least . There is a natural group homomo…

math.AG2021

Characteristic forms for holomorphic families of local systems

Indranil Biswas, Eduard Looijenga

Let be a proper holomorphic submersion of complex manifolds and a complex reductive linear algebraic group with Lie algebra . Assume also giv…