6 citations · 7 across the 4 of their papers we have counts for
5 papers
Brane Topological Field Theories and Hurwitz numbers for CW-complexes
Sergey M. Natanzon
We expand Topological Field Theory on some special CW-complexes (brane complexes). This Brane Topological Field Theory one-to-one corresponds to infinite dimensional Frobenius Alge…
Test for reality of algebraic functions
S. M. Natanzon
In this paper is proved that a complex algebraic function on complexification of a real algebraic curve is equivalent to real algebraic function, if and only if the divisor of prei…
Disk single Hurwitz numbers
S. M. Natanzon
It is investigated Hurwitz numbers, that correspond to covering of disk with single non-simple boundary critical value. It is found differential equations, that describe a generati…
Poincaré's theorem for the modular group of real Riemann surfaces
Antonio F. Costa, Sergey Natanzon
Let be the modular group of surfaces of genus . Each element induces in the integer homology of a surface of genus a symplectic automorphism $H([h…
Higher Arf Functions and Topology of the Moduli Space of Higher Spin Riemann Surfaces
Sergey Natanzon, Anna Pratoussevitch
We prove that any connected component of the space of m-spin structures on compact Riemann surfaces with finite number of punctures and holes is homeomorphic to a quotient of the v…