Recent preprints and publications

Preprints, in progress, etc.

From 3-manifolds to planar graphs and cycle-rooted trees Talk at the Fields Inst. “Arnold’s legacy” conference 2014
Enumerative geometry and finite type invariants PDF talk presentation
Invariants of 3-manifolds via the mapping class group and planar graphs Talk at the Nha-Trang Quantum Topology conference 2013
Alexander-Conway invariants for tangles preprint 11/2010

Published

Integrating curvature from Umlaufsatz to J and invariants (with S. Lanzat), Topology and Appl. 160 (2013)
Counting real curves with passage or tangency conditions (with S. Lanzat), J. London Math. Soc. 85 (2012), 838–854
Diassociative algebras and Milnor’s mu-invariants for tangles (with O. Kravchenko), Let. Math. Phys. 95 (2011), 297–316
Minimal generating sets of Reidemeister moves Quantum Topology 1 (2010), 399–411
Whitney’s formulas for curves on surfaces (with Y. Burman), Geometriae Dedicata 151 (2011), 97–106
A simple formula for the Casson-Walker invariant (with S. Matveev), J. Knot Theory 18 (2009), 841–864
Elementary combinatorics of the HOMFLYPT polynomial (with S. Chmutov), Int. Math. Res. Notices 2009 (2009), 16pp
Skein relations for Milnor’s mu-invariants Alg. Geom. Topology 5 (2005), 1471–1479; it is an updated first part of an unpublished 1999 preprint Skein relations and Gauss diagram formulas for Milnor’s mu-invariants
On 2-dimensional Topological Field Theories J. Knot Theory, to appear
Feynman diagrams for mathematicians and pedestrians Proc. Symp. Pure Math., 73 (2005), 15–42
Geometry of Whitney-type formulas (with Y. Burman), Moscow Math. J., 3 (2003), 823–832
Quantization of linear Poisson structures and degrees of maps Let. Math. Phys. 66 (2003), 15–35
Cubic complexes and finite type invariants (with S. Matveev), Geom. and Topol. Monographs 4 (2002), 215-233; for a shorter and simpler introduction see also Finite type invariants of cubic complexes (with S. Matveev), Acta Applic. Math., 75 (2003), 125–132
Generalized Crofton formulas Russian Math. Surveys, 56 (2001), 589–591
Calculus of clovers and finite type invariants of 3-manifolds (with S. Garoufalidis and M. Goussarov), Geometry and Topology 5 (2001) 75–108
On the algebra of arrow diagrams Let. Math. Phys. 51 (2000) 275–291
Finite type invariants of virtual and classical knots (with M. Goussarov and O. Viro), Topology 39 (2000), 1045–1068
On the Casson Knot Invariant with O. Viro), J. Knot Theory 10 (2001) 711–738.
New Whitney-type formulae for plane curves AMS Transl. (2) 190 (1999), 103–111
Shadows of Legendrian links and J-theory of curves Progr. in Math. 162, Birkhauser 1998, 435–458
Invariants of curves and fronts via Gauss diagrams Topology 37 (1998), 989–1009
On 2d Yang-Mills theory and invariants of links (with N.Reshetikhin) M. Phys. Studies 20, “Deformation Theory and Symplectic Geometry” (D. Sternheimer et.al. eds.), Kluwer 1997, 223–248
On Milnor’s triple linking number Comp. Rend. A. S. Paris 325 Serie I (1997), 77–82
Whitney formula in higher dimensions (with G. Mikhalkin) J. Diff. Geom. 44 (1996), 583–594
On the Bennequin invariant of Legendrian curves and its quantization
Comp. Rend. A. S. Paris 322, Serie I (1996), 77–82