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• W3003530033 abstract "We compute the global dimension function $mathrm{gldim}$ on the principal component $mathrm{Stab}^{dag}(mathbb{P}^2)$ of the space of Bridgeland stability conditions on $mathbb{P}^2$. It admits $2$ as the minimum value and the preimage $mathrm{gldim}^{-1}(2)$ is contained in the closure $bar{mathrm{Stab}^{mathrm{Geo}}(mathbb{P}^2)}$ of the subspace consisting of geometric stability conditions. We show that $mathrm{gldim}^{-1}[2,x)$ contracts to $mathrm{gldim}^{-1}(2)$ for any real number $xgeq 2$ and that $mathrm{gldim}^{-1}(2)$ is contractible." @default.
• W3003530033 created "2020-02-07" @default.
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• W3003530033 date "2020-01-31" @default.
• W3003530033 modified "2023-10-17" @default.
• W3003530033 title "Contractibility of space of stability conditions on the projective plane via global dimension function" @default.
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• W3003530033 doi "https://doi.org/10.48550/arxiv.2001.11984" @default.
• W3003530033 hasPublicationYear "2020" @default.
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