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arxiv: 1709.01587 · v2 · submitted 2017-09-05 · 🧮 math.AG

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Some remarks on topological K-theory of dg categories

Benjamin Antieau , Jeremiah Heller
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classification 🧮 math.AG
keywords categoriesblanck-theorysemi-topologicaltheorytopologicalagreealong
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Using techniques from motivic homotopy theory, we prove a conjecture of Anthony Blanc about semi-topological K-theory of dg categories with finite coefficients. Along the way, we show that the connective semi-topological K-theories defined by Friedlander-Walker and by Blanc agree for quasi-projective complex varieties and we study \'etale descent of topological K-theory of dg categories.

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    Proves that generating functions of Pandharipande-Thomas invariants with descendent insertions are rational with controlled poles for superpositive curve classes on projective complex 3-manifolds.