• Corpus ID: 250644520

Dirac geometry I: Commutative algebra

  title={Dirac geometry I: Commutative algebra},
  author={Lars Hesselholt and Piotr Pstrągowski},
The homotopy groups of a commutative algebra in spectra form a commutative algebra in the symmetric monoidal category of graded abelian groups. The grading and the Koszul sign rule are remnants of the structure encoded by anima as opposed to sets. The purpose of this paper and its sequel is to develop the geometry built from such algebras. We name this geometry Dirac geometry, since the grading exhibits the hallmarks of spin. Indeed, it is a reflection of the internal structure encoded by anima… 



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