Triangulating and Smoothing Homotopy Equivalences and Homeomorphisms . Geometric Topology Seminar

نویسنده

  • D. P. Sullivan
چکیده

We will study the smooth and piecewise linear manifolds within a given homotopy equivalence class. In the first part we find an obstruction theory for deforming a homotopy equivalence between manifolds to a diffeomorphism or a piecewise linear homeomorphism. In the second part we analyze the piecewise linear case and characterize the obstructions in terms of a geometric property of the homotopy equivalence. In the third part we apply this analysis to the Hauptvermutung and complex projective space.

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تاریخ انتشار 2006