186 citations · 489 across the 41 of their papers we have counts for
5 papers · 1 filter
From WZW models to Modular Functors
Eduard Looijenga
In this survey paper (which supersedes our earlier arXiv preprint math.AG/0507086) we give a relatively simple and coordinate free description of the WZW model as a local system wh…
Fermat varieties and the periods of some hypersurfaces
Eduard Looijenga
The variety of all smooth hypersurfaces of given degree and dimension has the Fermat hypersurface as a natural base point. In order to study the period map for such varieties, we f…
Hyperbolic Structures and Root Systems
Gert Heckman, Eduard Looijenga
We discuss the construction of a one parameter family of complex hyperbolic structures on the complement of a toric mirror arrangement associated with a simply laced root system. S…
A topological interpretation of the KZ system
Eduard Looijenga
We show that the KZ system has a purely topological interpretation in the sense that it may be understood as a variation of complex mixed Hodge structure whose successive pure weig…
Spherical complexes attached to symplectic lattices
Wilberd van der Kallen, Eduard Looijenga
To the integral symplectic group Sp(2g,Z) we associate two posets of which we prove that they have the Cohen-Macaulay property. As an application we show that the locus of marked d…