most recent 30 from http://mathoverflow.net 2013-05-21T10:43:38Z http://mathoverflow.net/feeds/question/70021 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/70021/mirror-symmetry-and-quantum-gravity Hyun S. Yang 2011-07-11T15:13:46Z 2011-07-11T15:13:46Z

<p>Can we use the mirror symmetry to define quantum gravity ?</p> <p>It may be fair to say that so far we don't know how to quantize a Riemannian manifold (or a complex manifold). But a symplectic manifold may be more accessible for quantization because it endows a natural cosymplectic (Poisson) structure, e.g., for deformation quantization. If so, using the mirror symmetry, we may try to quantize a symplectic manifold instead of a complex manifold being mirror to the former. How can this approach for quantum gravity make sense ?</p>