arXiv research

The study proves super-rigidity of Gromov's random monster group for various types of groups.

Develops tools for studying intersections of elliptic operators, focusing on $J$-holomorphic maps.

Extends Gromov invariant to Calabi-Yau 3-folds.

Let $Q^N_l\subset \bC\bP^{N+1}$ denote the standard real, nondegenerate hyperquadric of signature $l$ and $M\subset \bC^{n+1}$ a real, Levi nondegenerate hypersurface of the same signature $l$. We shall assume that there is a holomorphic mapping $H_0\colon U\to \bC\bP^{N_0+1}$, where $U$ is some neighborhood of $M$ in …