First Sentence:
For many decades now, workers in differential geometry and mathematical physics have been increasingly concerned with differential operators (exterior differentiation, connection, Laplacians, Dirac operators, etc.) associated to underlying Riemannian or space-time manifolds.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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lagrangian subsheaf, spectral boundary value problems, global projection conditions, analytic torsion forms, submergent type, regularized pullback, manifold with cylindrical, partitioned manifolds, many orthogonality conditions, periodic cyclic homology, pseudodifferential projections, homogeneous principal symbol, oblique derivative problem, tangential operator, eta invariant, isotropic reduction, product type structures, cyclic homology groups, modulo exact forms, spectral flow, local index theorem, defect formula, edge algebra, lagrangian reduction, neutral vector field
Key Phrases - Capitalized Phrases (CAPs):
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New York, Atiyah Patodi Singer, Atiyah Singer, Birkhäuser Verlag, Boutet de Monvel, Differential Geom, Mathematics Subject Classification, Pure Appl, Booss Bavnbek, Cambridge Philos, Academic Press, Dirac Laplacian, Cauchy Riemann, Global Anal, Princeton Univ, Acta Math, Akademie Verlag, Birkhäuser Boston, Duke Math, Oxford University Press, Riemann Roch, Springer Verlag, Using Lemma, Applying Theorem, Fredholm Lagrangian Grassmannian
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