G 空间之间线性规范关系的韦尔海姆-伍德沃德范畴

arXiv - MATH - Symplectic Geometry Pub Date : 2024-07-26 DOI:arxiv-2408.06363

Alan Weinstein

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摘要

我们扩展了与大卫-李-布兰德（David Li-Bland）合作的前一篇论文中的工作，构建了紧凑群 G 的线性交点 G 空间之间的等变线性规范关系的韦尔海姆-伍德沃德类别 WW(GSLREL)。

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The Wehrheim-Woodward category of linear canonical relations between G-spaces

We extend the work in a previous paper with David Li-Bland to construct the Wehrheim-Woodward category WW(GSLREL) of equivariant linear canonical relations between linear symplectic G-spaces for a compact group G. When G is the trivial group, this reduces to the previous result that the morphisms in WW(SLREL) may be identified with pairs (L,k) consisting of a linear canonical relation and a nonnegative integer.

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arXiv - MATH - Symplectic Geometry

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