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math.AT2007★ 2 cited
Self coincidence numbers and the fundamental group
Daniel Henry Gottlieb
For M and N closed oriented connected smooth manifolds of the same dimension, we consider the mapping space Map(M,N;f) of continuous maps homotopic to f:M--> N.We show that the eva…
math.AT2004
Transfers and Periodic Orbits
Daniel Henry Gottlieb
Bo Ju Jiang applied Neilsen theory to the study of periodic orbits of a homeomorphism. His method employs a certain loop in the mapping torus of the homeomorphism. Our interest con…
math.AT2003★ 2 cited
Eigenbundles, Quaternions, and Berry's Phase
Daniel Henry Gottlieb
Given a parameterized space of square matrices, the associated set of eigenvectors forms some kind of a structure over the parameter space. When is that structure a vector bundle?…