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On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert Manifolds
Morse theory negative gradient dynamics Hilbert manifold
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2011/2/21
This paper proves some results on negative gradient dynamics of Morse functions on Hilbert manifolds. It contains the compactness of ow lines, manifold structures of certain compacti-
ed moduli spa...
Canonical frames for Gl(2)-structures
Gl(2)-structure frame bundle problem of equivalence ordinary differential equations
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2011/1/18
We construct a canonical frame for an arbitrary Gl(2)-structure thus solving the equivalence problem for Gl(2)-structures. Our treatment includes also a problem of contact equivalence of ordinary diff...
Explicit angle structures for veering triangulations
Explicit angle structures triangulations
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2011/2/25
Agol recently introduced the notion of a veering triangulation, and showed that such triangulations naturally arise as layered triangulations of fibered hyperbolic 3–manifolds. We prove, by a construc...