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20102026
most citedSpectral flow, crossing forms and homoclinics of Hamiltonian systems

22 citations · 65 across the 30 of their papers we have counts for

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Showing 2013 · math.DGShow all

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math.DG2013

Yet another proof of the Morse index theorem

Alessandro Portaluri, Nils Waterstraat

We give a new analytical proof of the Morse index theorem for geodesics in Riemannian manifolds.

math.DG2013

A family index theorem for periodic Hamiltonian systems and bifurcation

Nils Waterstraat

We prove an index theorem for families of linear periodic Hamiltonian systems, which is reminiscent of the Atiyah-Singer index theorem for selfadjoint elliptic operators. For the s…