AbstractWe consider a based loop group Le(G) over a compact Lie groupG, endowed with its pinned Wiener measureν(the law of the Brownian bridge onG) and we shall calculate the Ricci curvature for differentialn-forms over Le(G). A type of Bochner–Weitzenböck formula for general differentialn-forms (or Shigekawa identity) will be established
The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Li...
Let G be GL (n,c) and ΩG the based loop group over G. Then the (stable) first and second non abelian...
Using a coset version of the cubic Dirac operators for affine Lie algebras, we give an algebraic con...
AbstractLet G be a compact semi-simple Lie group and L(G) the loop group over G. On L(G) is defined ...
AbstractOn the loop space L(G) over a compact connected Lie group G, we explicitly determine the fir...
In this article we study differential geometric properties of the most basic in\ufb01nite-dimensiona...
AbstractIn this article we study differential geometric properties of the most basic infinite-dimens...
AbstractOver the space L of based loops in a compact connected Lie group G there is a natural gradie...
AbstractLet G be a compact Lie group, L(G) the associated loop group, ω the canonical symplectic for...
We prove two generalizations of localization formulae for finite-dimensional spaces to the infinite-...
AbstractWe describe the exponential map from an infinite-dimensional Lie algebra to an infinite-dime...
Abstract. I describe the wonderful compactification of loop groups. These compactifications are ob-t...
Any possible signatures of the quadratic Ricci form of arbitrary left invariant Riemannian metrics o...
AbstractLetGbe a connected compact type Lie group equipped with anAdG-invariant inner product on the...
AbstractLet W(G) and L(G) denote the path and loop groups respectively of a connected real unimodula...
The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Li...
Let G be GL (n,c) and ΩG the based loop group over G. Then the (stable) first and second non abelian...
Using a coset version of the cubic Dirac operators for affine Lie algebras, we give an algebraic con...
AbstractLet G be a compact semi-simple Lie group and L(G) the loop group over G. On L(G) is defined ...
AbstractOn the loop space L(G) over a compact connected Lie group G, we explicitly determine the fir...
In this article we study differential geometric properties of the most basic in\ufb01nite-dimensiona...
AbstractIn this article we study differential geometric properties of the most basic infinite-dimens...
AbstractOver the space L of based loops in a compact connected Lie group G there is a natural gradie...
AbstractLet G be a compact Lie group, L(G) the associated loop group, ω the canonical symplectic for...
We prove two generalizations of localization formulae for finite-dimensional spaces to the infinite-...
AbstractWe describe the exponential map from an infinite-dimensional Lie algebra to an infinite-dime...
Abstract. I describe the wonderful compactification of loop groups. These compactifications are ob-t...
Any possible signatures of the quadratic Ricci form of arbitrary left invariant Riemannian metrics o...
AbstractLetGbe a connected compact type Lie group equipped with anAdG-invariant inner product on the...
AbstractLet W(G) and L(G) denote the path and loop groups respectively of a connected real unimodula...
The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Li...
Let G be GL (n,c) and ΩG the based loop group over G. Then the (stable) first and second non abelian...
Using a coset version of the cubic Dirac operators for affine Lie algebras, we give an algebraic con...
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