On the Burns-Epstein invariants of  spherical CR 3-manifolds

Khoi The Vu

Displaying similar documents to “On the Burns-Epstein invariants of spherical CR 3-manifolds”

Inverse spectral results on even dimensional tori

Carolyn S. Gordon, Pierre Guerini, Thomas Kappeler, David L. Webb (2008)

Annales de l’institut Fourier

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Given a Hermitian line bundle $L$ over a flat torus $M$ , a connection $\nabla$ on $L$ , and a function $Q$ on $M$ , one associates a Schrödinger operator acting on sections of $L$ ; its spectrum is denoted $S p e c (Q; L, \nabla)$ . Motivated by work of V. Guillemin in dimension two, we consider line bundles over tori of arbitrary even dimension with “translation invariant” connections $\nabla$ , and we address the extent to which the spectrum $S p e c (Q; L, \nabla)$ determines the potential $Q$ . With a genericity condition, we show that if the connection is invariant...

Conformally invariant trilinear forms on the sphere

Jean-Louis Clerc, Bent Ørsted (2011)

Annales de l’institut Fourier

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To each complex number $λ$ is associated a representation $π_{λ}$ of the conformal group $S O_{0} (1, n)$ on $𝒞^{\infty} (S^{n - 1})$ (spherical principal series). For three values $λ_{1}, λ_{2}, λ_{3}$ , we construct a trilinear form on $𝒞^{\infty} (S^{n - 1}) \times 𝒞^{\infty} (S^{n - 1}) \times 𝒞^{\infty} (S^{n - 1})$ , which is invariant by $π_{λ_{1}} \otimes π_{λ_{2}} \otimes π_{λ_{3}}$ . The trilinear form, first defined for $(λ_{1}, λ_{2}, λ_{3})$ in an open set of $ℂ^{3}$ is extended meromorphically, with simple poles located in an explicit family of hyperplanes. For generic values of the parameters, we prove uniqueness of trilinear invariant forms.

$q$ -Wakimoto modules and integral formulae of solutions of the quantum Knizhnik-Zamolodchikov equations.

Kuroki, Kazunori (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Towards a human proof of Gessel's conjecture.

Ayyer, Arvind (2009)

Journal of Integer Sequences [electronic only]

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Estimates of Fourier coefficients.

Tsagareishvili, V. (2003)

Georgian Mathematical Journal

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On linear differential equations involving a para-Grassmann variable.

Mansour, Toufik, Schork, Matthias (2009)

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Energy error estimates for the projection-difference method with the Crank--Nicolson scheme for parabolic equations.

Smagin, V. V. (2001)

Sibirskij Matematicheskij Zhurnal

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A generalization of the reciprocity law of multiple Dedekind sums

Masahiro Asano (2007)

Annales de l’institut Fourier

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Various multiple Dedekind sums were introduced by B.C.Berndt, L.Carlitz, S.Egami, D.Zagier and A.Bayad. In this paper, noticing the Jacobi form in Bayad [4], the cotangent function in Zagier [23], Egami’s result on cotangent functions [14] and their reciprocity laws, we study a special case of the Jacobi forms in Bayad [4] and deduce a generalization of Egami’s result on cotangent functions and a generalization of Zagier’s result. Further, we consider their reciprocity laws. ...