52 citations · 216 across the 27 of their papers we have counts for
6 papers · 1 filter
Interval topology in contact geometry
Vladimir Chernov, Stefan Nemirovski
A topology is introduced on spaces of Legendrian submanifolds and groups of contactomorphisms. The definition is motivated by the Alexandrov topology in Lorentz geometry.
Redshift and contact forms
Vladimir Chernov, Stefan Nemirovski
It is shown that the redshift between two Cauchy surfaces in a globally hyperbolic spacetime equals the ratio of the associated contact forms on the space of light rays of that spa…
Universal orderability of Legendrian isotopy classes
Vladimir Chernov, Stefan Nemirovski
It is shown that non-negative Legendrian isotopy defines a partial order on the universal cover of the Legendrian isotopy class of the fibre of the spherical cotangent bundle of an…
Non-negative Legendrian isotopy in
Vladimir Chernov, Stefan Nemirovski
It is shown that if the universal cover of a manifold is an open manifold, then two different fibres of the spherical cotangent bundle cannot be connected by a non-nega…
Legendrian links, causality, and the Low conjecture
Vladimir Chernov, Stefan Nemirovski
Let be a globally hyperbolic spacetime with Cauchy surface diffeomorphic to an open subset of . The Legendrian Low conjecture formulated by Natário and…
Relative Framing of Transverse knots
Vladimir Chernov
It is well-known that a knot in a contact manifold transverse to a trivialized contact structure possesses the natural framing given by the first of the trivialization vect…