Departments and Programs

• Mathematics

Related Links

• http://www.math.dartmouth.edu/~chernov/

Contact Information

Email: vladimir.chernov@dartmouth.edu
Phone: 603-646-2421
Office: 6188 Kemeny Hall

Education

M.Sci. University of California at Riverside; Ph.D. University of California at Riverside; Ph.D. Uppsala University, Sweden

Areas of Expertise

Contact and symplectic topology and geometry; geometric and low-dimensional topology; algebraic topology and global analysis, spaces of embeddings and immersions; interactions between topology and Lorentz geometry

Selected Works

• Chernov (Tchernov), V and Y B Rudyak, "Linking and Causality in Globally Hyperbolic Space-times," Communications in Mathematical Physics, 279:2 (2008) 309-354.
• Chernov (Tchernov), V and Y B Rudyak, "Toward a General Theory of Linking Invariants," Geometry and Topology, 9:42 (2005) 1881-1913.
• "Relative Framing of Transverse Knots," International Mathematics Research Notices, 52 (2004) 2773-2795.
• "Isomorphism of the Groups of Vassiliev Invariants of Legendrian and of Pseudo-legendrian Knots," Compositio Mathematica, 135:1 (Jan 2003) 103-122.
• "Vassiliev Invariants of Legendrian, Transverse, and Framed Knots in Contact Three-manifolds, Topology, 42:1 (Jan 2003) 1-33.
• "Arnold-type Invariants of Wave Fronts on Surfaces," Topology, 41:1 (Jan 2002) 1-45.

Current Projects

Garland algebra and the topological invariants coming from it; link homotopy invariants; relations between causality in Lorentz manifolds and linking; restrictions on the topological type of a refocussing Lorentz manifold; interactions between Lorentz geometry and contact topology; Bennequin-type inequalities; pseudo-Legendrian knots; Vassiliev invariants of knots in manifolds