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We investigate a relation of the contravariant geometry to the emergent gravity from noncommutative gauge theories.
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T. Asakawa, H. Muraki, S. Watamura, “ Gravity theory on Poisson manifold with R R -flux
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2008
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H. S. Yang, “ Emergent Gravity from Noncommutative Spacetime
2009
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P. Aschieri, M. Dimitrijević, P. Kulish, F. Lizzi, J. Wess, “ Noncommutative spacetimes: symmetries in noncommutative geometry and field theory
2009
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2009
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H. Steinacker, “ Emergent Geometry and Gravity from Matrix Models: an Introduction,
2010
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H. S. Yang, M. Sivakumar, “ Emergent Gravity from Quantized Spacetime
2010
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M. Kontsevich, “ Formality conjecture
2010
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2015
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2015
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T. Asakawa, H. Muraki, S. Sasa, S. Watamura, “ Poisson-generalized geometry and R-flux
2015
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G. Ishiki, “ Matrix Geometry and Coherent States
2015
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H. S. Yang, “ Quantization of Emergent Gravity
2015
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H. S. Yang, “ Calabi-Yau manifolds from noncommutative Hermitian U(1) instantons
2015
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L. Schneiderbauer, H. C. Steinacker, “ Measuring finite Quantum Geometries via Quasi-Coherent States
2016
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G. Ishiki, T. Matsumoto, H. Muraki, “ Kähler structure in the commutative limit of matrix geometry
2016
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H. C. Steinacker, “ Emergent gravity on covariant quantum spaces in the IKKT model,
2016
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Y. Kaneko, H. Muraki, S. Watamura, “ Contravariant Gravity on Poisson Manifolds and Einstein Gravity
2017
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2017
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