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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
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Papers overview

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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
2013
Highly Cited
2013
We study macroscopically two dimensional $${\mathcal{N}=(2,2)}$$N=(2,2) supersymmetric gauge theories constructed by… Expand
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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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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
2009
Highly Cited
2009
Abstract We investigate further the recent analysis [R. Banerjee, B.R. Majhi, JHEP 0806 (2008) 095, arXiv: 0805.2220 ], based on… 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
2001
Highly Cited
2001
The inverse scale factor, which in classical cosmological models diverges at the singularity, is quantized in isotropic models of… 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
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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
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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
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