8 papers
Algebraic -Valued Monoids on , Discriminants and Projective Duality
Victor Buchstaber, Mikhail Kornev
In this work, we establish connections between the theory of algebraic -valued monoids and groups and the theories of discriminants and projective duality. We show that the comp…
Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE
Victor Buchstaber, Mikhail Kornev, Vladimir Rubtsov
We show that the associativity condition of the universal symmetric 2-algebraic 2-valued group defined by the Buchstaber polynomial admits several mutually equivalent interpretatio…
Algebraic topology of the Lagrange inversion
Victor M. Buchstaber, Alexander P. Veselov
The Lagrange inversion formula for power series is one of the classical formulas from analysis and combinatorics. A nice geometric interpretation of this formula in terms of the St…
Cohomology of symplectic - reductions and compactifications of
Victor M. Buchstaber, Svjetlana TerziÄ
A symplectic - reduction on a complex Grassmann manifold for the canonical action of the maximal compact torus depends on the - orbit of a maximal chamber in…
-Valued Groups, Kronecker Sums, and Wendt's Matrices
Victor Buchstaber, Mikhail Kornev
The article presents results on the well-known problem concerning the structure of integer polynomials , which define multiplication laws in -valued groups $\mathb…
Smooth manifolds in and defined by symplectic reductions of -action
Victor M. Buchstaber, Svjetlana TerziÄ
Plücker coordinates define the -equivariant embedding $p : G_{n,2}\to \C P^{N}$ of a complex Grassmann manifold into the complex projective space $\C P^{N}$, $N=\bi…