output
20082022
most citedStationary Black Holes: Uniqueness and Beyond

522 citations

Showing 2009Show all

6 papers · 1 filter

hep-th2009★ 18 cited

Crystal melting on toric surfaces

Michele Cirafici, Amir-Kian Kashani-Poor, Richard J. Szabo

We study the relationship between the statistical mechanics of crystal melting and instanton counting in N=4 supersymmetric U(1) gauge theory on toric surfaces. We argue that, in c…

math.QA2009★ 25 cited

Bimodules and branes in deformation quantization

Damien Calaque, Giovanni Felder, Andrea Ferrario +1

We prove a version of Kontsevich's formality theorem for two subspaces (branes) of a vector space . The result implies in particular that the Kontsevich deformation quantization…

math.DG2009★ 1 cited

Hearing Delzant polytopes from the equivariant spectrum

Emily B. Dryden, Victor Guillemin, Rosa Sena-Dias

Let M^{2n} be a symplectic toric manifold with a fixed T^n-action and with a toric Kähler metric g. Abreu asked whether the spectrum of the Laplace operator on $\mathcal{C}^\…

math.CT2009★ 43 cited

The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module

Joao Faria Martins, Roger Picken

We define the thin fundamental Gray 3-groupoid of a smooth manifold and define (by using differential geometric data) 3-dimensional holonomies, to be smooth strict Gra…

math.CO2009

On signed diagonal flip sequences

Rui Pedro Carpentier

Eliahou \cite{2} and Kryuchkov \cite{9} conjectured a proposition that Gravier and Payan \cite{4} proved to be equivalent to the Four Color Theorem. It states that any triangulatio…

gr-qc2009★ 1 cited

A Quantum Goldman Bracket for Loops on Surfaces

J. E. Nelson, R. F. Picken

In the context of (2+1)--dimensional gravity, we use holonomies of constant connections which generate a --deformed representation of the fundamental group to derive signed area…