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We show that the coefficients in the Laurent series of the
Igusa local zeta functions I(s) = R
C
f
sω are periods. This is proved by
first showing the existence of functional equation...
Asymptotics and local constancy of characters of p-adic groups
Quantitative theory constancy characters subgroups structure
2015/8/25
In this paper we initiate a quantitative theory of trace characters of reductive p-adic groups when the representation varies. Our approach is based on the local constancy of characters and we su...
Pin^-(2)-monopole equations and intersection forms with local coefficients of 4-manifolds
4-manifold intersection form Seiberg-Witten equations
2010/12/8
We introduce a variant of the Seiberg-Witten equations, Pin−(2)-monopole equations, and give its applications to intersection forms with local coefficients of 4-manifolds. The first application ...
A Hierarchy of Local Symplectic Filling Obstructions for Contact 3-Manifolds
Local Symplectic Filling Obstructions Contact 3-Manifolds
2010/12/6
We generalize the familiar notions of overtwistedness and Giroux torsion in 3-dimensional contact manifolds, defining an infinite hierarchy of local filling obstructions called planar torsion, whose i...
Controlling Effect of Geometrically Defined Local Structural Changes on Chaotic Hamiltonian Systems
Chaotic Hamiltonian Systems Local Structural Changes
2010/4/1
An effective characterization of chaotic conservative Hamiltonian systems in terms of the curvature associated with a Riemannian metric tensor derived from the structure of the Hamiltonian has been ex...
A Local Minimum Energy Condition of Hexagonal Circle Packing
Packing Energy Convex function
2010/1/25
A sufficient condition for the energy of a point such that a local minimum of the energy exists at every triangular lattice point is obtained. The condition is expressed as a certain type of strong c...
A Non Local Quantitative Characterization of ellipses Leading to a Solvable Differential Relation
Convex sets asymptotic expansion ordinary differential equations
2010/1/25
In this paper we prove that there are no domains , other than the ellipses, such that the Lebesgue measure of the intersection of and its homothetic image translated to a boundary point is inde...