arXiv Open Access 2019

Computation of Kontsevich Weights of Connection and Curvature Graphs for Symplectic Poisson Structures

Nima Moshayedi Fabio Musio

Lihat Sumber

Abstrak

We give a detailed explicit computation of weights of Kontsevich graphs which arise from connection and curvature terms within the globalization picture for the special case of symplectic manifolds. We will show how the weights for the curvature graphs can be explicitly expressed in terms of the hypergeometric function as well as by a much simpler formula combining it with the explicit expression for the weights of its underlined connection graphs. Moreover, we consider the case of a cotangent bundle, which will simplify the curvature expression significantly.

Topik & Kata Kunci

math-ph hep-th math.DG math.QA math.SG

Penulis (2)

Nima Moshayedi

Fabio Musio

Format Sitasi

APA MLA BibTeX

Moshayedi, N., Musio, F. (2019). Computation of Kontsevich Weights of Connection and Curvature Graphs for Symplectic Poisson Structures. https://arxiv.org/abs/1912.08742

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓