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math.DG2025
Diagonalization of the Toda flow on conjugacy classes of matrices with simple spectrum
David Martínez Torres, Carlos Tomei
We construct coordinates on conjugacy classes of traceless complex matrices with simple spectrum that diagonalize the non-periodic Toda vector field. By this we mean that the coord…
math.DG2025
Poisson Manifolds of Compact Types with an Appendix by Joshua Mundinger
Marius Crainic, Rui Loja Fernandes, David Martínez Torres +1
We develop the theory of Poisson and Dirac manifolds of compact types, a broad generalization in Poisson and Dirac geometry of compact Lie algebras and Lie groups. We establish key…