V. Vassiliev

activity

19952026

most citedOn invariants and homology of spaces of knots in arbitrary manifolds

18 citations · 51 across the 30 of their papers we have counts for

collaborators

Showing 2014 · math.ATShow all

3 papers · 2 filters

math.AT2014★ 1 cited

Homology groups of spaces of non-resultant quadratic polynomial systems in R^3

Victor A. Vassiliev

We calculate rational homology groups of spaces of non-resultant (i.e. having no non-trivial common zeros) systems of homogemeous quadratic polynomials in R^3

math.AT2014★ 1 cited

Spaces of Hermitian operators with simple spectra and their finite-order cohomology

Victor A. Vassiliev

The topology of spaces of Hermitian operators in $C^{n}$ with non-simple spectra was studied by V.Arnold in a relation with the theory of adiabatic connections and the quantum Hall e…

math.AT2014★ 3 cited

Homology of spaces of homogeneous polynomials in $R^{2}$ without multiple zeros

Victor A. Vassiliev

For any natural $d \geq k \geq 2$ we calculate the cohomology groups of the space of homogeneous polynomials $R^{2} \to R$ of degree $d$ , which do not vanish with multiplicity $\geq k$ …

Homology groups of spaces of non-resultant quadratic polynomial systems in R^3

Spaces of Hermitian operators with simple spectra and their finite-order cohomology

Homology of spaces of homogeneous polynomials in R2 without multiple zeros

Homology of spaces of homogeneous polynomials in $R^{2}$ without multiple zeros