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On the diffeomorphism group of
 S \Theta S , Proc.A.M.S
, 1981
"... Homology stability for outer automorphism ..."
Geodesic Equations on Diffeomorphism Groups
, 2008
"... We bring together those systems of hydrodynamical type that can be written as geodesic equations on diffeomorphism groups or on extensions of diffeomorphism groups with right invariant L 2 or H 1 metrics. We present their formal derivation starting from Euler’s equation, the first order equation sat ..."
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Cited by 7 (1 self)
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We bring together those systems of hydrodynamical type that can be written as geodesic equations on diffeomorphism groups or on extensions of diffeomorphism groups with right invariant L 2 or H 1 metrics. We present their formal derivation starting from Euler’s equation, the first order equation
Diffeomorphism group and conformal fields
, 1992
"... Conformal fields are a new class of V ect(N) modules which are more general than tensor fields. The corresponding diffeomorphism group action is constructed. Conformal fields are thus invariantly defined. ..."
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Conformal fields are a new class of V ect(N) modules which are more general than tensor fields. The corresponding diffeomorphism group action is constructed. Conformal fields are thus invariantly defined.
Orbifold Homeomorphism and Diffeomorphism Groups
 in: “Infinite Dimensional Lie Groups in Geometry and Representation Theory,” World Scientific
"... of reduced and unreduced orbifold diffeomorphism groups. For the reduced orbifold diffeomorphism group we state and sketch the proof of the following recognition result: Let O1 and O2 be two compact, locally smooth orbifolds. Fix r ≥ 0. Suppose that Φ: Diffrred(O1) → Diffrred(O2) is a group isomor ..."
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Cited by 7 (5 self)
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of reduced and unreduced orbifold diffeomorphism groups. For the reduced orbifold diffeomorphism group we state and sketch the proof of the following recognition result: Let O1 and O2 be two compact, locally smooth orbifolds. Fix r ≥ 0. Suppose that Φ: Diffrred(O1) → Diffrred(O2) is a group isomor
Factor Representations of Diffeomorphism Groups
, 2008
"... General semifinite factor representations of the diffeomorphism group of euclidean space are constructed by means of a canonical correspondence with the finite factor representations of the inductive limit unitary group. This construction includes the quasifree representations of the canonical comm ..."
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General semifinite factor representations of the diffeomorphism group of euclidean space are constructed by means of a canonical correspondence with the finite factor representations of the inductive limit unitary group. This construction includes the quasifree representations of the canonical
HOMOTOPY TYPES OF DIFFEOMORPHISM GROUPS
"... This is areport on the study of topological properties of the diffeomorphism groups of noncompact smooth 2manifolds endowed with the compact0pen $C^{\infty} $ topology [18]. When $M $ is compact smooth 2manifold, the diffeomorphism group $D(M) $ with the compactopen $C^{\infty}\mathrm{t}\mathrm ..."
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This is areport on the study of topological properties of the diffeomorphism groups of noncompact smooth 2manifolds endowed with the compact0pen $C^{\infty} $ topology [18]. When $M $ is compact smooth 2manifold, the diffeomorphism group $D(M) $ with the compactopen $C
QUANTUM AND BRAIDED DIFFEOMORPHISM GROUPS
, 1997
"... We develop a general theory of ‘quantum’ diffeomorphism groups based on the universal comeasuring quantum group M(A) associated to an algebra A and its various quotients. Explicit formulae are introduced for this construction, as well as dual quasitriangular and braided Rmatrix versions. Among the ..."
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Cited by 9 (7 self)
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We develop a general theory of ‘quantum’ diffeomorphism groups based on the universal comeasuring quantum group M(A) associated to an algebra A and its various quotients. Explicit formulae are introduced for this construction, as well as dual quasitriangular and braided Rmatrix versions. Among
Poisson Diffeomorphism Groups
, 2000
"... We construct explicitly a class of coboundary PoissonLie structures on the group of formal diffeomorphisms of R n. Equivalently, these give rise to a class of coboundary triangular Lie bialgebra structures on the Lie algebra Wn of formal vector fields on R n. We conjecture that this class accounts ..."
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We construct explicitly a class of coboundary PoissonLie structures on the group of formal diffeomorphisms of R n. Equivalently, these give rise to a class of coboundary triangular Lie bialgebra structures on the Lie algebra Wn of formal vector fields on R n. We conjecture that this class accounts
Hk metrics on the diffeomorphism group of the circle
 J. Nonlinear Math. Phys
"... Each Hk inner product, k ∈ N, endows the diffeomorphism group of the circle with a Riemannian structure. For k ≥ 1 the Riemannian exponential map is a smooth local diffeomorphism and the lengthminimizing property of geodesics holds. 1 ..."
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Cited by 3 (0 self)
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Each Hk inner product, k ∈ N, endows the diffeomorphism group of the circle with a Riemannian structure. For k ≥ 1 the Riemannian exponential map is a smooth local diffeomorphism and the lengthminimizing property of geodesics holds. 1
On the Diffeomorphism Group of S 1 × S 2
, 2003
"... The main result of this paper is that the group Diff(S 1 ×S 2) of diffeomorphisms ..."
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The main result of this paper is that the group Diff(S 1 ×S 2) of diffeomorphisms
Results 1  10
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1,257