The cohomology of an isospectral flow

Fried, David

doi:10.1090/S0002-9939-1986-0854048-6

The cohomology of an isospectral flow
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by David Fried PDF

Proc. Amer. Math. Soc. 98 (1986), 363-368 Request permission

Abstract:

Building on work of Tomei, we compute the cohomology of the manifold of real symmetric tridiagonal matrices with distinct fixed eigenvalues. The proof uses the global dynamical properties of the Toda flow on this isospectral manifold.

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