nLab Viktor Vassiliev

Viktor A. Vassiliev, a Russian geometer, a pupil of Vladimir Arnold. He is also active in the questions of education and the well-being of the academic community in contemporary Russia.

• webpage at Higher School of Economics, Moscow

Selected writings

Introducing Vassiliev knot invariants:

• Viktor Vassiliev, Complements of discriminants of smooth maps: topology and applications, Amer. Math. Soc. 1992 (ams:mmono-98)

Further:

• Ramified integrals, singularities and lacunas, Kluwer 1994, 289+xvii pp. Russian version: Ветвящиеся интегралы, Moscow 2002, 432 pp.
• Applied Picard-Lefschetz theory, Mathematical Surveys and Monographs 97. Amer. Math. Soc. 2002. xii+324 pp. MR2003k:32043
• Stratified Picard-Lefschetz theory, Selecta Math. (N.S.) 1 (1995), no. 3, 597–621, MR96i:32037, doi
• Complements of discriminants of smooth maps: topology and applications, Amer. Math. Soc. 1992.
• Complexes of connected graphs, arxiv/1409.5999

On cocycle spaces in (equivariant) Cohomotopy:

• Victor Vassiliev, Twisted homology of configuration spaces, homology of spaces of equivariant maps, and stable homology of spaces of non-resultant systems of real homogeneous polynomials (arXiv:1809.05632)

• Victor Vassiliev, Cohomology of spaces of Hopf equivariant maps of spheres (arXiv:2102.07157)

Related entries

• Vassiliev knot invariant

• Picard-Lefschetz theory

• singularity theory

• Kontsevich integral

category: people