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Derived Resolution Property for Stacks, Euler Classes and Applications
Derived Resolution Property for Stacks Euler Classes Applications
2010/12/13
By resolving any perfect derived object over a Deligne-Mumford stack, we define its Euler class. We then apply it to define the Euler numbers for a smooth Calabi-Yau threefold in P4. These numbers are...
Sectional Curvature in terms of the Cometric, with Applications to the Riemannian Manifolds of Landmarks
shape spaces landmark points cometric sectional curvature
2010/12/6
This paper deals with the computation of sectional curvature for the manifolds of N land-
marks (or feature points) in D dimensions, endowed with the Riemannian metric induced by the
group action of...