Survey on some aspects of Lefschetz theorems in algebraic geometry
We survey classical material around Lefschetz theorems for fundamental groups, and show the relation to parts of Deligne's program in Weil II. The notes are based on some aspects of the material for the Santal\'o lectures at the Universidad Complutense
Esnault, Hélène
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Lattice Homotopy Constraints on Phases of Quantum Magnets
The Lieb-Schultz-Mattis (LSM) theorem and its extensions forbid trivial phases from arising in certain quantum magnets. Constraining infrared behavior with the ultraviolet data encoded in the microscopic lattice of spins, these theorems tie the absence ...
Jian, Chao-Ming +3 more
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The nonholonomic Riemann and Weyl tensors for flag manifolds [PDF]
On any manifold, any non-degenerate symmetric 2-form (metric) and any skew-symmetric (differential) form W can be reduced to a canonical form at any point, but not in any neighborhood: the respective obstructions being the Riemannian tensor and dW.
Dimitry A. Leites +5 more
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A priori estimates and reduction principles for quasilinear elliptic problems and applications
Variants of Kato's inequality are proved for general quasi- linear elliptic operators L. As an outcome we show that, dealing with Liouville theorems for coercive equations of the type Lu = f(x;u;rLu) on R N ; where f is such that f(x;t; )t 0, the ...
L. D’Ambrosio, E. Mitidieri
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A classification of coherent state representations of unimodular Lie groups
Let G be a connected Lie group and (n, %*) a unitary representation of G on a complex Hubert space %f. Throughout we shall assume that (n, %?) is nontrivial in the sense that d i m ^ > 1. By a coherent state orbit (CS orbit for short) for (n, %?) we mean
W. Lisiecki
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Some Theorems on the Structure of Nearly Equicontinuous Transformation Groups
Fred A. Roberson
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Rigidity Theorems For Actions Of Product Groups And Countable Borel Equivalence Relations
G. Hjorth, A. Kechris
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GENERAL THEOREMS ON AUTOMORPHISMS OF SEMIGROUPS AND THEIR APPLICATIONS
J. Araújo, J. Konieczny
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Comparison theorems on H-type sub-Riemannian manifolds. [PDF]
Baudoin F +3 more
europepmc +1 more source
On the Classification of Bosonic and Fermionic One-Form Symmetries in 2 + 1 d and 't Hooft Anomaly Matching. [PDF]
Balasubramanian M +2 more
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