Speaker
Prof.
Martin Bojowald
(Penn State)
Description
A classic result of canonical general relativity, going back to Dirac, shows that general covariance and deformation symmetries of spatial hypersurfaces are equivalent only when the Hamiltonian and diffeomorphism constraints are imposed. A recent mathematical analysis by Blohmann, Schiavina and Weinstein has revealed the appearance of a higher algebraic structure with an L-infinity bracket in hypersurface deformations. These features may have implications for foliation-based approaches to quantum space-time, such as canonical quantum gravity or causal dynamical triangulations.
Primary author
Prof.
Martin Bojowald
(Penn State)
