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Quantum geometry

In theoretical physics, quantum geometry is the set of mathematical concepts generalizing the concepts of geometry whose understanding is necessary… Expand
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
A bstractFor a wide variety of quantum potentials, including the textbook ‘instanton’ examples of the periodic cosine and… Expand
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Highly Cited
2014
Highly Cited
2014
In this paper, we rigorously construct Liouville Quantum Field Theory on the Riemann sphere introduced in the 1981 seminal work… Expand
Highly Cited
2013
Highly Cited
2013
We study macroscopically two dimensional $${\mathcal{N}=(2,2)}$$N=(2,2) supersymmetric gauge theories constructed by… Expand
Highly Cited
2012
Highly Cited
2012
We study the quantum geometry of the class of Calabi-Yau threefolds, which are elliptic brations over a two-dimensional toric… Expand
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Review
2011
Review
2011
Loop quantum cosmology (LQC) is the result of applying principles of loop quantum gravity (LQG) to cosmological settings. The… Expand
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Highly Cited
2009
Highly Cited
2009
In this work, we give an explicit isomorphism between the usual spin network basis and the direct quantization of the reduced… Expand
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Highly Cited
2006
Highly Cited
2006
In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke… Expand
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Highly Cited
1998
Highly Cited
1998
Abstract: We develop the noncommutative geometry (bundles, connections etc.) associated to algebras that factorise into two… Expand
Highly Cited
1996
Highly Cited
1996
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum gravity, is used to begin a… Expand
Highly Cited
1995
Highly Cited
1995
Abstract String-string duality dictates that type IIA strings compactified on a K3 surface acquire non-abelian gauge groups for… Expand