St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
2 sonuçtan 1-2 arası sonuçlar
Sayfa 304
... homology classes a , b ɛ H1 ( T | w ] ; Z ) with respect to the orientation coming from the side of Tw . Then a ^ _w b = -α Λω b because the orientations of the torus Tw coming up from different sides are opposite . The operation Aw ...
... homology classes a , b ɛ H1 ( T | w ] ; Z ) with respect to the orientation coming from the side of Tw . Then a ^ _w b = -α Λω b because the orientations of the torus Tw coming up from different sides are opposite . The operation Aw ...
Sayfa 347
The choice of generators of the homology group fixes orientations of the manifolds M'CM and T " . We define the degree of ƒ at x E M ' to be equal to 1 if def preserves the orientations of the tangent spaces at x , and to -1 if dxf ...
The choice of generators of the homology group fixes orientations of the manifolds M'CM and T " . We define the degree of ƒ at x E M ' to be equal to 1 if def preserves the orientations of the tangent spaces at x , and to -1 if dxf ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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analytic approximation assume asymptotic Birman BKN-equation bounded C(zIm coefficients cohomology classes compatible components constant corresponding defined denote diffeomorphism Dirac operator domain edge eigenvalues embedding English transl estimate Euler characteristic exists finite formula geodesic graph graph-manifold harmonic Hilbert space holomorphic implies inequality integral invertible isometric K₁ kernel Lemma length function linear Math matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm NPC-solution obtain oriented Painlevé equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation representation respect result Riemann-Hilbert Riemann-Hilbert problem Riemannian manifold S₁ satisfies Schrödinger operator Seifert fibered space self-affine selfadjoint selfadjoint operators singular Sobolev Sobolev spaces solution spectrum Subsection subspace supp Suppose symmetric Theorem Theorem 3.1 theory torus vector vertex vertices zero