activity
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 2012Show all

3 papers · 1 filter

math.DG2012

Bifurcation results for critical points of families of functionals

Alessandro Portaluri, Nils Waterstraat

Recently the first author studied the bifurcation of critical points of families of functionals on a Hilbert space, which are parametrised by a compact and orientable manifold havi…

math.FA2012★ 13 cited

The index bundle for Fredholm morphisms

Nils Waterstraat

We extend the index bundle construction for families of bounded Fredholm operators to morphisms between Banach bundles.

math.SP2012★ 4 cited

A remark on the space of metrics having non-trivial harmonic spinors

Nils Waterstraat

Let M be a closed spin manifold of dimension congruent to 3 modulo 4. We give a simple proof of the fact that the space of metrics on M with invertible Dirac operator is either emp…