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5 papers · 2 filters
Finite rank vector bundles on inductive limits of grassmannians
Joseph Donin, Ivan Penkov
If is the projective ind-space, i.e. is the inductive limit of linear embeddings of complex projective spaces, the Barth-Van de Ven-Tyurin (BVT) Theorem claim…
Georg Cantor and his heritage
Yuri I. Manin
Talk at the meeting of the German Mathematical Society and the Cantor Medal Award Ceremony
Counting real rational functions with all real critical values
B. Shapiro, A. Vainshtein
We study the number of real rational degree n functions (considered up to linear fractional transformations of the independent variable) with a given set of 2n-2 distinct real crit…
A_{n-1} singularities and nKdV hierarchies
Alexander Givental
According to a conjecture of E. Witten proved by M. Kontsevich, a certain generating function for intersection indices on the Deligne -- Mumford moduli spaces of Riemann surfaces c…
Galois symmetries of fundamental groupoids and noncommutative geometry
A. B. Goncharov
We define motivic iterated integrals on the affine line, and give a simple proof of the formula for the coproduct in the Hopf algebra of they make. We show that it encodes the grou…