2 papers
math.AG2008
Hodge theoretic aspects of mirror symmetry
L. Katzarkov, M. Kontsevich, T. Pantev
We discuss the Hodge theory of algebraic non-commutative spaces and analyze how this theory interacts with the Calabi-Yau condition and with mirror symmetry. We develop an abstract…
math.AG2001
Density of monodromy actions on non-abelian cohomology
L. Katzarkov, T. Pantev, C. Simpson
In this paper we study the monodromy action on the first Betti and de Rham non-abelian cohomology arising from a family of smooth curves. We describe sufficient conditions for the…