An introduction to motivic Hall algebras
作者： Tom Bridgeland
DOI:
关键词: Mathematics 、 Coherent sheaf 、 Variety (universal algebra) 、 Algebra 、 Torus 、 Hall algebra 、 Symplectic geometry 、 Subalgebra 、 Ring (mathematics)
摘要: We give an introduction to Joyce's construction of the motivic Hall algebra coherent sheaves on a variety M. When M is Calabi-Yau threefold we define semi-classical integration map from Poisson subalgebra this ring functions symplectic torus. This material will be used in arxiv:1002.4374 prove some basic properties Donaldson-Thomas curve-counting invariants threefolds.
arxiv.org
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