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2) "On rigidity of ALE vector bundles", joint with F. Asadi and Z. Fathi

In this article, we discuss topological rigidity of vector bundles with asymptotically conical (AC) total spaces of rank greater than or equal to 2 with a sufficiently connected link; our focus will mainly be on ALE (asymptotically locally Euclidean) bundles. Within the smooth category, we topologically classify all ALE tangent bundles by showing only the 2-sphere, projective plane and open contractible manifolds admit ALE tangent bundles. We also discuss other interesting topological and geometric rigidities of ALE vector bundles

 

Preprints
Month/Season: 
Spring
Year: 
2023

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