The homotopy classification of proper Fredholm maps of index one
DOI:
https://doi.org/10.12775/TMNA.2020.068Keywords
Fredholm maps, Pontryagin-Thom construction, framed cobordismAbstract
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 framed cobordism. We explicitly computed these homotopy classes for non-positive index. In this paper, we compute the homotopy classes of proper Fredholm maps of index one from a simply connected Hilbert manifold to its model space. This classification uses a new numerical invariant for proper Fredholm maps of index one.References
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Copyright (c) 2022 Alberto Abbondandolo, Thomas Rot
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