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Brane structures in microlocal sheaf theory
Journal of Topology ( IF 0.8 ) Pub Date : 2024-03-14 , DOI: 10.1112/topo.12325
Xin Jin 1 , David Treumann 1
Affiliation  

Let be an exact Lagrangian submanifold of a cotangent bundle , asymptotic to a Legendrian submanifold . We study a locally constant sheaf of -categories on , called the sheaf of brane structures or . Its fiber is the -category of spectra, and we construct a Hamiltonian invariant, fully faithful functor from to the -category of sheaves of spectra on with singular support in .

中文翻译:

微局域束理论中的膜结构

是余切丛的精确拉格朗日子流形,渐近到传奇子流形。我们研究一个局部恒定的束- 类别,称为膜结构束或。它的纤维是-谱类别,我们构造一个哈密顿不变的、完全忠实的函子- 光谱束类别在单一支持下
更新日期:2024-03-14
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