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Fast Slant Stack: A notion of Radon Transform for Data in a Cartesian Grid which is Rapidly Computible, Algebraically Exact, Geometrically Faithful and Invertible
Radon Transform Projection-slice theorem Sinc-Interpolation,
2015/8/21
We define a notion of Radon Transform for data in an n by n grid. It is based on summation
along lines of absolute slope less than 1 (as a function either of x or of y), with values at non-Cart...
Direct calculation of higher rank invariants of stable pairs using the Joyce machinery of stack functions
higher rank invariants Direct calculation Joyce machinery stack functions
2011/8/23
Abstract: The rank 2 invariants of stable pairs over a Calabi-Yau threefold were computed in (arXiv:1101.2252) using the wall-crossing formula of Joyce-Song and Kontsevich-Soibelman. The computations ...
The Period-Index Problem for the Stack of Regularly Stable Sp(2n)-Bundles over a Curve
Period-Index Problem Stack of Regularly Stable Sp(2n)-Bundles
2010/12/9
Let Sp2n be the symplectic group over k, an algebraically closed field of characteristic 0; and let X denote a smooth, projective, connected curve over k of genus g 2. There is a stack Bunrs Sp2n of...
The symplectic Deligne-Mumford stack associated to a stacky polytope
symplectic Deligne-Mumford stack stacky polytope
2010/12/8
We discuss a symplectic counterpart of the theory of stacky fans. First, we define a stacky
polytope and construct the symplectic toric Deligne–Mumford stack associated to it. Then we establish a rel...
Stack-Sortable Permutations and Polynomials
Catalan numbers stack-sortable permutations permutations acting on polynomials
2010/2/25
The Catalan numbers show up in a diverse variety of counting problems. In this note we give yet another characterization of the Catalan number C(n). It is characterized as the dimension of a certain s...