AbstractIn this talk, we will introduce gradient recovery schemes for data defined on discretized manifolds. The proposed method, parametric polynomial preserving recovery (PPPR), does not require the tangent spaces of the exact manifolds which have been assumed for some significant gradient recovery methods in the literature. Another advantage of PPPR is that superconvergence is guaranteed wit...
Abstract：The L^2-Alexander torsion is an invariant associated to a 3-manifold and an 1-cohomology class. This invariant is a real function with many properties similar to / generalizing the tranditional Alexander polynomial. In this talk, I will discuss the "leading coefficient" of this function and show its connection with sutured manifold theory
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