A Topological Approach to Indices of Geometric Operators on Manifolds with Fibered Boundaries
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DOI: 10.1007/s00220-019-03595-1
Abstract: In this paper, we investigate topological aspects of indices of twisted geometric operators on manifolds equipped with fibered boundaries. We define K -groups relative to the pushforward for boundary fibration, and show that indices of… read more here.
Keywords: fibered boundaries; indices geometric; geometric operators; approach indices ... See more keywords
General geometric operators in all dimensional loop quantum gravity
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DOI: 10.1103/physrevd.101.084032
Abstract: Two strategies for constructing general geometric operators in all dimensional loop quantum gravity are proposed. The different constructions mainly come from the two different regularization methods for the basic building blocks of the spatial geometry.… read more here.
Keywords: general geometric; dimensional loop; geometric operators; loop quantum ... See more keywords