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Let F be the complete °ag variety over SpecZ with the tautological
ˉltration 0 ½ E1 ½ E2 ½ ￠ ￠ ￠ ½ En = E of the trivial bundle E of rank
n over F. The trivial hermitian metric o...
We study the Arakelov intersection ring of the arithmetic scheme
OG which parametrizes maximal isotropic subspaces in an even dimensional
vector space, equipped with the standard hyperbolic quadrati...
SCHUBERT POLYNOMIALS AND ARAKELOV THEORY OF SYMPLECTIC FLAG VARIETIES
SCHUBERT POLYNOMIALS ARAKELOV THEORY
2015/12/17
Let X = Sp2n/B the flag variety of the symplectic group. We
propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of t...
An action of the Steenrod algebra is constructed on the mod p
Chow theory of varieties over a eld of characteristic di erent from p answering
a question posed in Fulton's Intersection Theory. The a...
Gromov-Lawson-Schoen-Yau theory and isoparametric foliations
Gromov-Lawson-Schoen-Yau theory isoparametric hypersurface positive scalar curvature
2011/9/21
Abstract: Motivated by the celebrated Gromov-Lawson-Schoen-Yau surgery the- ory on metrics of positive scalar curvature, the present paper constructs a double manifold associated with a minimal isopar...
K-homology and index theory on contact manifolds
K-homology and index theory Operator Algebras Differential Geometry
2011/8/31
Abstract: Let X be a closed connected contact manifold. On X there is a naturally arising class of hypoelliptic (but not elliptic) operators which are Fredholm. In this paper we solve the index proble...
Schrodinger equations, deformation theory and $tt^*$-geometry
Schrodinger equations deformation theory Differential Geometry
2011/8/26
Abstract: This is the first of a series of papers to construct the deformation theory of the form Schr\"odinger equation, which is related to a section-bundle system $(M,g,f)$, where $(M,g)$ is a nonc...
Equivariant inverse spectral theory and toric orbifolds
Laplacian symplectic orbifold toric moment polytope equivariant spectrum constant scalar curvature
2011/8/25
Abstract: Let O be a symplectic toric 2n-dimensional orbifold with a fixed T^n-action and with a toric Kahler metric g. We previously explored whether, when O is a manifold, the equivariant spectrum o...
Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms
Logarithmic tensor category theory, VI: Expansion condition associativity of logarithmic intertwining operators associativity isomorphisms
2011/2/23
This is the sixth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
Shape theory via affine transformation: Some generalisations
Jacobians Jack polynomials generalised hypergeometric functions
2011/2/28
This work sets the statistical affine shape theory in the context of real normed divi-sion algebras. The general densities apply for every field: real, complex, quaternion,octonion, and for any noncen...
Diagonalization-free implementation of spin relaxation theory for large spin systems
NMR EPR relaxation simulation spin dynamics
2011/3/1
The Liouville space spin relaxation theory equations are reformulated in such a way as to avoid the computationally expensive Hamiltonian diagonalization step, replacing it by numerical evaluation of ...
Effective Action and Phase Transitions in Thermal Yang-Mills Theory on Spheres
Confinement Nonperturbative Effects QCD
2011/3/2
We study the covariantly constant Savvidy-type chromomagnetic vacuum in finite-temperature
Yang-Mills theory on the four-dimensional curved spacetime. Motivated by the fact that a positive spatial cu...
Integrable defects in affine Toda field theory and infinite dimensional representations of quantum groups
Integrable defects affine Toda field theory infinite dimensional representations quantum groups
2011/3/3
Transmission matrices for two types of integrable defect are calculated explicitly, first by solving directly the nonlinear transmission Yang-Baxter equations.
Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors
Logarithmic tensor category theory Intertwining maps and tensor product bifunctors
2011/2/23
This is the third part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators
Logarithmic tensor category theory Logarithmic formal calculus properties of logarithmic intertwining operators
2011/2/23
This is the second part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper ...