Noncommutative Hypergeometry

By A. Volkov. 2003

91 citations recorded by the source corpus.

A certain special function of the generalized hypergeometric variety is shown to fulfill a host of useful noncommutative identities.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f0810442b69cec7fd4e4d6b0c8405dbe0f496153

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Sergei Gukov
2. Tudor Dimofte

In Geometry and Topology

1. Tudor Dimofte
2. Sergei Gukov
3. E. Witten
4. Abhijit Gadde
5. Pavel Putrov
6. F. Benini
7. D. Gaiotto
8. Stavros Garoufalidis

In Statistical and Nonlinear Physics

1. Tudor Dimofte
2. Sergei Gukov
3. E. Witten
4. Yuji Tachikawa
5. D. Gaiotto
6. Abhijit Gadde
7. C. Vafa
8. Dan Xie

Citations in the corpus

• Quantum Riemann Surfaces in Chern-Simons Theory (2011, background): “Properties of this remarkable function have been discussed in many places, including [75, 19, 76, 77, 78, 79, 80, 2].”
• Exact results for perturbative Chern-Simons theory with complex gauge group. (2009, unknown): “ the analysis, so we will describe the main properties of all three here. We give complete proofs, but only sketchily since none of this material is new. For further discussion and proofs, see, e.g., [13, 14, 15, 51, 20], and [57] (subsection II.1.D). 1. The asymptotic formula (3.18) can be refined t”
• Chern-Simons theory and S-duality (2011, background): “1) each converge for a particular range of p and ~, but can be analytically continued to define a meromorphic function of p ∈ C, for ~ in the cut plane C\[0,−i∞); details can be found in [10, 77] and many references therein.”