Cubic Dirac operators are defined for infinite-dimensional color Lie algebras using Z-gradings to fix normal ordering, with corrections when a color Kac-Peterson class vanishes, yielding square formulas and applications to Kac-Moody superalgebras including Dirac inequalities.
and Hopkins, Michael J
3 Pith papers cite this work. Polarity classification is still indexing.
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The condensed fundamental group of Spec(Z) is non-trivial, hence Spec(Z) is not condensed contractible.
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Dirac operators for infinite-dimensional color Lie algebras
Cubic Dirac operators are defined for infinite-dimensional color Lie algebras using Z-gradings to fix normal ordering, with corrections when a color Kac-Peterson class vanishes, yielding square formulas and applications to Kac-Moody superalgebras including Dirac inequalities.
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On Galois categories and condensed contractible schemes
The condensed fundamental group of Spec(Z) is non-trivial, hence Spec(Z) is not condensed contractible.
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Shape theory for condensed anima
Shape theory for condensed anima recovers classical shape for paracompact compactly generated and locally contractible spaces while extending sheaf-condensed cohomology comparisons.