4 papers · 1 filter
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…
Sigma function associated with a hyperelliptic curve with two points at infinity
Takanori Ayano, Victor M. Buchstaber
Baker constructed basic meromorphic functions on the Jacobian variety of a hyperelliptic curve with two points at infinity. We call them Baker functions. The construction is based…
Moduli space of weighted pointed stable curves and toric topology of Grassmann manifolds
Victor M. Buchstaber, Svjetlana TerziÄ
We relate the theory of moduli spaces of stable weighted curves of genus to the equivariant topology of complex Grassmann manifolds $G_…