Finite type invariants of rational homology 3-spheres

Finite type invariants of rational homology 3-spheres
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有理同调 3-球体的有限类型不变量

DOI:
10.2140/agt.2012.12.2389
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发表时间:
2012
期刊:
影响因子:
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通讯作者:
Delphine Moussard
Delphine Moussard
中科院分区:
--
文献类型:
--
作者:
Delphine Moussard

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我们考虑由所有有理同源球直到保持方向同胚生成的有理向量空间,以及通过拉格朗日保持有理同源手柄体替换在该空间上定义的过滤。我们用增强雅可比图的分级空间来识别与此过滤相关的分级空间。
We consider the rational vector space generated by all rational homology spheres up to orientation-preserving homeomorphism, and the filtration defined on this space by Lagrangian-preserving rational homology handlebody replacements. We identify the graded space associated with this filtration with a graded space of augmented Jacobi diagrams.