Vladimir Chernov (Tchernov)

Professor of Mathematics

(603) 6462421
HB 6188
Department(s): 
Mathematics
Education: 
M.Sci. University of California at Riverside
Ph.D. University of California at Riverside
Ph.D. Uppsala University, Sweden

Selected Publications

V. Chernov and S. Nemirovski: "Universal Orderability of Legendrian Isotopy Classes", J. Symplectic Geometry, 14, no.1, (2016), 149-170

V. Chernov and S. Nemirovski: "Cosmic censorship of smooth structures." Comm. Math. Phys. 320, no. 2,  (2013), 469–473

P. Cahn and V. Chernov: "Intersaction of Loops and the Andersen-Mattes-Reshetikhin Algebra", J. Lond. Math. Soc. (2), 87, no. 3, (2013), 785-801

V. Chernov and S. Nemirovski: “Non-negative Legendrian isotopy in STM”, Geometry and Topology , 14, no. 1, (2010) pages 611-626

V. Chernov and S. Nemirovski: “Legendrian links causality and the Low conjecture”, GAFA (Geometric and Functional Analysis), 19, no. 5, (2010) pages 1320-1333

V. Chernov and Yu. Rudyak, “Linking and Causality in Globally Hyperbolic Space-times,” Communications in Mathematical Physics , 279:2 (2008) 309-354.

V. Chernov and Yu. Rudyak, “Toward a General Theory of Linking Invariants,” Geometry and Topology , 9:42 (2005) 1881-1913.

V. Chernov: "Relative Framing of Transverse Knots", Int. Math. Res. Not., no 52, (2004), 2773-2795

V. Tchernov: "Isomorphism of the Groups of Vassiliev Invariants of Legendrian and of Pseudo-Legendrian Knots", Compositio Math, 135, no.1, (2003), 103-122

V. Tchernov: "Vassiliev invariants of Legendrian, transverse, and framed knots in contact three-manifolds", Topology, 42, no. 1, (2003), 1-33

V. Tchernov: "Arnold-type invariants of wave fronts on surfaces," Topology (41), no. 1, (2002), 1-45

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Works in progress

interactions between Lorentz geometry and contact topology; relations between causality in Lorentz manifolds and linking; refocussing Lorentz manifolds; space of light rays in a spacetime; smooth structures on spacetimes; virtual knots and virtual curves