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Conjectures on the Relations of Linking and Causality in Causally Simple Spacetimes
by
Vladimir Chernov
Dartmouth College
We formulate the generalization of the Legendrian Low conjecture of Natario and Tod (proved by Nemirovski and myself before) to the case of causally simple spacetimes. We prove a weakened version of the corresponding statement.
In all known examples, a causally simple spacetime (X, g) can be conformally embedded as an open subset into some globally hyperbolic (X̃, g̃) and the space of light rays in (X, g) is closely related to an open submanifold of the space of light rays in (X̃, g̃). If this is always the case, this provides an approach to solving the conjectures relating causality and linking in causally simple spacetimes.
Date received: November 14, 2018
Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbpq-15.