Vladimir Chernov

Legendrian Links, Causality, and the Low Conjecture

Let (Xm+1, g) be a globally hyperbolic spacetime with Cauchy surface diffeomorphic to an open subset of

Linking and Causality in Globally Hyperbolic Space-times

{\mathbb{R}^{m}}

Toward a general theory of linking invariants

. The Legendrian Low conjecture formulated by Natário and Tod says that two events

SOME COROLLARIES OF MANTUROV'S PROJECTION THEOREM

{x, y \in X}

Topological properties of manifolds admitting a Yx-Riemannian metric

are causally related if and only if the Legendrian link of spheres