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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
• 2017
• Corpus ID: 119466706
A bstractFor a wide variety of quantum potentials, including the textbook ‘instanton’ examples of the periodic cosine and… Expand
Highly Cited
2014
Highly Cited
2014
• 2014
• Corpus ID: 9351718
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
• 2013
• Corpus ID: 56086721
We study macroscopically two dimensional $${\mathcal{N}=(2,2)}$$N=(2,2) supersymmetric gauge theories constructed by… Expand
Highly Cited
2012
Highly Cited
2012
• 2012
• Corpus ID: 56388682
We study the quantum geometry of the class of Calabi-Yau threefolds, which are elliptic brations over a two-dimensional toric… Expand
Review
2011
Review
2011
• 2011
• Corpus ID: 119209230
Loop quantum cosmology (LQC) is the result of applying principles of loop quantum gravity (LQG) to cosmological settings. The… Expand
Highly Cited
2009
Highly Cited
2009
• 2009
• Corpus ID: 115171809
In this work, we give an explicit isomorphism between the usual spin network basis and the direct quantization of the reduced… Expand
Highly Cited
2006
Highly Cited
2006
• 2006
• Corpus ID: 42277928
In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke… Expand
Highly Cited
1998
Highly Cited
1998
• 1998
• Corpus ID: 18608764
Abstract: We develop the noncommutative geometry (bundles, connections etc.) associated to algebras that factorise into two… Expand
Highly Cited
1996
Highly Cited
1996
• 1996
• Corpus ID: 13612883
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