[ Abstract ] ...V A Vassiliev On a problem by M Kazarian 10 Feb 99 We prove that the group of symmetries of a function germ with zero 2 jet and isolated singularity has no compact positive dimensional subgroups...
.txthttp://www.pdmi.ras.ru/~arnsem/papers/vaskazpr.txt
[ Abstract ] ...S V Chmutov S V Duzhin S K Lando Vassiliev knot invariants III Forest algebra and weighted graphs In this third paper we introduce and study the forest algebra a subalgebra in the Hopf algebra of chord diagrams which has one primitive generator of each degree...
.txthttp://www.pdmi.ras.ru/~duzhin/papers/cdl3.txt
[ Abstract ] ...A new series of Vassiliev invariants of ornaments generalizing most of previously known invariants is introduced These invariants solve the problem of classification of decompositions of permutations into products of transpositions posed by S Fomin which can obviously be reduced to homotopy...
.txthttp://www.pdmi.ras.ru/~arnsem/papers/fibrabst.txt
[ Abstract ] ...V A Vassiliev How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces Abstract A general method of computing cohomology groups of the space of nonsingular algebraic hypersurfaces of degree d in CP n is described Using this method rational cohomology groups...
.txthttp://www.pdmi.ras.ru/~arnsem/papers/howtocal.txt
[ Abstract ] ...S Chmutov S Duzhin and S Lando Vassiliev knot Invariants I Introduction The present paper can be considered both as an introduction to Vassiliev s theory of knot invariants and as an introduction to the subsequent papers CDL2 CDL3 Our chief goal was to explain how the initial topological problem...
.txthttp://www.pdmi.ras.ru/~duzhin/papers/cdl1.txt
[ Abstract ] ...S Chmutov S Duzhin A lower bound for the number of Vassiliev knot invariants We prove that the number of primitive Vassiliev knot invariants of degree d grows at least as d log d when d tends to infinity In particular it grows faster than any polynomial in d The proof is based on the explicit...
.txthttp://www.pdmi.ras.ru/~duzhin/papers/lb.txt
[ Abstract ] ...S V Chmutov S V Duzhin An upper bound for the number of Vassiliev knot invariants We prove that the number of independent Vassiliev knot invariants of order n is less than n 1 thus strengthening the a priori bound 2n 1 The paper starts with a short introduction to Vassiliev s theory which contains...
.txthttp://www.pdmi.ras.ru/~duzhin/papers/cd.txt
[ Abstract ] ... for an arbitrary link f We use an approach due to G T Jin 1987 and consider the invariant beta as a Vassiliev invariant of order 3...
.txthttp://www.pdmi.ras.ru/~arnsem/papers/akh1abst.txt
[ Abstract ] ...V A Vassiliev A FORTRAN program counting for Morsifications of real function singularities This is an appendix to the book V A Vassiliev Applied Picard Lefschetz theory AMS Providence RI 2002 It described an algorithm for counting topologically different generic Morsifications of real function...
.txthttp://www.pdmi.ras.ru/~arnsem/papers/morscoun.txt
[ Abstract ] ... dimensional topology namely in the recent theory of Vassiliev knot invariants In particular 4 invariants of graphs determine Vassiliev invariants of knots The relation between the two notions is discussed...
.txthttp://www.pdmi.ras.ru/~arnsem/papers/lando-ag-abst.txt
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