Corpus ID: 210472368

Frobenius and spherical codomains and neighbourhoods

  title={Frobenius and spherical codomains and neighbourhoods},
  author={Andreas Hochenegger and Ciaran Meachan},
  • Andreas Hochenegger, Ciaran Meachan
  • Published 2020
  • Mathematics
  • Given an exact functor between triangulated categories which admits both adjoints and whose cotwist is either zero or an autoequivalence, we show how to associate a unique full triangulated subcategory of the codomain on which the functor becomes either Frobenius or spherical, respectively. We illustrate our construction with examples coming from projective bundles and smooth blowups. This work generalises results about spherical subcategories obtained by Martin Kalck, David Ploog and the first… CONTINUE READING

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