nLab Vladimir Arnold

Владимир Игоревич Арнольд (Vladimir Igorevich Arnol’d) was a Russian mathematician and mathematical physicist, working in Moscow and Paris.

• wikipedia: English, French

• biography at MacTutor history of math archive

Selected writings

On the real cohomology of configuration spaces of points:

• Vladimir Arnold, The cohomology ring of the colored braid group, Mat. Zametki, 1969, Volume 5, Issue 2, Pages 227–231 (mathnet:mz6827)

The Arnold-Kuiper-Massey theorem:

• Vladimir Arnold, Ramified covering $\mathbb{C}P^2 \to S^4$, hyperbolicity and projective topology, Siberian Math. Journal 1988, V. 29, N 5, P.36-47

• Vladimir Arnold, On disposition of ovals of real plane algebraic curves, involutions of four-dimensional manifolds and arithmetics of integer quadratic forms, Funct. Anal. and Its Appl., 1971, V. 5, N 3, P. 1-9.

On methods of topology and homotopy theory in hydrodynamics:

• Vladimir Arnold, Boris Khesin, Topological methods in hydrodynamics, Applied Mathematical Sciences 125, Springer 1998 (doi:10.1007/b97593)

Related $n$Lab entries

• symplectic geometry

• Hamiltonian mechanics

category: people