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math.AT2020
The homotopy classification of proper Fredholm maps of index one
Alberto Abbondandolo, Thomas O. Rot
In a previous paper we classified the homotopy classes of proper Fredholm maps from an infinite dimensional Hilbert manifold to its model space in terms of a suitable version of fr…
math.AT2016
On the homotopy classification of proper Fredholm maps into a Hilbert space
Alberto Abbondandolo, Thomas O. Rot
We classify the homotopy classes of proper Fredholm maps from an infinite dimensional Hilbert manifold into its model space in terms of a suitable version of framed cobordism. Our…
math.AT2003
Infinite dimensional Grassmannians
Alberto Abbondandolo, Pietro Majer
We study the analytic and homotopy properties of some infinite dimensional Grassmannians, useful for developing a Morse theory for infinite dimensional manifolds. We study the spac…