First Sentence:
We begin by giving some background from differential and Riemannian geometry, principally to establish notation, and move on to discuss connections on vector bundles, parallel transport, and the definition of holonomy groups.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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holomorphic symplectic manifold, large complex structure limit point, corresponding calibrated submanifolds, monodromy diffeomorphism, complex moduli space, monodromy weight filtration, isomorphic periods, exceptional holonomy groups, nilpotent orbit theorem, holomorphic symplectic structure, mirror symmetry conjecture, special holonomy, deformation equivalence, singular fibres, trivial canonical bundle, stable sheaves, birational map, twistor space, calibrated geometry, quartic hypersurface, birational correspondence, general fibre, exceptional locus, monodromy transformation, symplectic manifolds
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Manifolds Let, Geometric Measure Theory
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