Generating the Fukaya categories of compact toric varieties

Preprint English OPEN
Smith, Jack;
  • Subject: Mathematics - Symplectic Geometry | 53D37, 14M25
    arxiv: Mathematics::K-Theory and Homology | Mathematics::Algebraic Geometry | Mathematics::Symplectic Geometry

Let $X$ be a compact toric variety. The quantum cohomology of $X$ decomposes as a direct sum, and associated to each summand $Q$ is a toric fibre $L_Q$ with rank $1$ local system. By building an explicit twisted-complex-like object, we show that on $Q$ the Kodaira-Spenc... View more
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