Symmetric products of surfaces distinguish two macroscopic dimension notions and address Gromov-Lawson and Gromov conjectures in the Kaehler projective setting while connecting to minimal models and positivity in algebraic geometry.
Some Remarks on Symmetric Products of Curves
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abstract
Symmetric products of curves are important spaces for both geometers and topologists, and increasingly useful objects for physicists. We summarize in this note some of their basic homotopy theoretic properties and derive a handful of known and less well-known results about them.
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2025 1verdicts
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Curvature, macroscopic dimensions, and symmetric products of surfaces
Symmetric products of surfaces distinguish two macroscopic dimension notions and address Gromov-Lawson and Gromov conjectures in the Kaehler projective setting while connecting to minimal models and positivity in algebraic geometry.