Search
Search Results
-
3d mirror symmetry of the cotangent bundle of the full flag variety
Aganagic and Okounkov proved that the elliptic stable envelope provides the pole cancellation matrix for the enumerative invariants of quiver...
-
Fractional Elliptic Operators with Multiple Poles on Riemannian Manifold with Clifford Bundle
We introduce new types of fractional generalized elliptic operators on a compact Riemannian manifold with Clifford bundle. The theory is applicable...
-
Poisson Reductions of Master Integrable Systems on Doubles of Compact Lie Groups
We consider three ‘classical doubles’ of any semisimple, connected and simply connected compact Lie group G : the cotangent bundle, the Heisenberg...
-
Towards a unified theory of the fundamental physical interactions based on the underlying geometric structure of the tangent bundle
This paper pursues the hypothesis that the tangent bundle (TB) with the central extended little groups of the SO(3,1) group as gauge group is the...
-
-
Dimensional reduction of Courant sigma models and Lie theory of Poisson groupoids
We show that the 2d Poisson Sigma Model on a Poisson groupoid arises as an effective theory of the 3d Courant Sigma Model associated with the double...
-
Free scalar field theory on a Sobolev space over a bounded interval
This paper discusses several functional analytic issues relevant for field theories in the context of the Hamiltonian formulation for a free,...
-
Smooth 2-Group Extensions and Symmetries of Bundle Gerbes
We study bundle gerbes on manifolds M that carry an action of a connected Lie group G . We show that these data give rise to a smooth 2-group...
-
Deformed relativistic kinematics on curved spacetime: a geometric approach
Deformed relativistic kinematics have been considered as a way to capture residual effects of quantum gravity. It has been shown that they can be...
-
A note on quadratic Poisson brackets on \(\mathrm {gl}(n,{\mathbb {R}})\) related to Toda lattices
It is well known that the compatible linear and quadratic Poisson brackets of the full symmetric and of the standard open Toda lattices are...
-
Semiclassical Asymptotics on Stratified Manifolds
AbstractWe study the problem on semiclassical asymptotics for (pseudo)differential equations with singularities on a stratified manifold of a...
-
-
Symmetries of κ-Minkowski space-time: a possibility of exotic momentum space geometry?
The quest for a quantum gravity phenomenology has inspired a quantum notion of space-time, which motivates us to study the fate of the relativistic...
-
An introduction to the relativistic kinetic theory on curved spacetimes
This article provides a self-contained pedagogical introduction to the relativistic kinetic theory of a dilute gas propagating on a curved spacetime...
-
Reinterpreting deformed Heisenberg algebras
Minimal and maximal uncertainties of position measurements are widely considered possible hallmarks of low-energy quantum as well as classical...
-
Gopakumar–Vafa Type Invariants of Holomorphic Symplectic 4-Folds
Using reduced Gromov–Witten theory, we define new invariants which capture the enumerative geometry of curves on holomorphic symplectic 4-folds. The...
-
Geometrization of the TUY/WZW/KZ connection
Given a simple, simply connected, complex algebraic group G , a flat projective connection on the bundle of non-abelian theta functions on the moduli...
-
On Globalized Traces for the Poisson Sigma Model
A globalized version of a trace formula for the Poisson Sigma Model on the disk is presented by using its formal global picture in the setting of the...
-
Universal Equations for Higher Genus Gromov–Witten Invariants from Hodge Integrals
We establish new universal equations for higher genus Gromov–Witten invariants of target manifolds, by studying both the Chern character and Chern...
-
Local Models for Manifolds with Symplectic Connections of Ricci Type*
We show that any symplectic manifold (Mω) of dimension 2n(n≥ 2) admitting a symplectic connection of Ricci type can locally be constructed by a...