18 citations · 51 across the 30 of their papers we have counts for
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Cohomology of spaces of complex knots
V. A. Vassiliev
We develop a technique for calculating the cohomology groups of spaces of complex parametric knots in , , and carry out these calculations to obtain these…
Twisted homology of configuration spaces, homology of spaces of equivariant maps, and stable homology of spaces of non-resultant systems of real homogeneous polynomials
Victor Vassiliev
A spectral sequence calculating the homology groups of some spaces of maps equivariant under compact group actions is described. For the main example, we calculate the rational hom…
Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in
Victor A. Vassiliev
The naturally topologized order complex of proper algebraic subsets in , defined by systems of quadratic forms, has rational homology of
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
Spaces of Hermitian operators with simple spectra and their finite-order cohomology
Victor A. Vassiliev
The topology of spaces of Hermitian operators in with non-simple spectra was studied by V.Arnold in a relation with the theory of adiabatic connections and the quantum Hall e…
Homology of spaces of homogeneous polynomials in without multiple zeros
Victor A. Vassiliev
For any natural we calculate the cohomology groups of the space of homogeneous polynomials of degree , which do not vanish with multiplicity …