Twisted Blanchfield pairings and symmetric chain complexes
Twisted Blanchfield pairings and symmetric chain complexes
复制标题
扭曲布兰奇菲尔德配对和对称链复合体
DOI：
10.1093/qmath/haw028
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Mark Powell
中科院分区：
文献类型：
--
作者：
Mark Powell
我们定义了群环Z[G]上对称三联链配合物的扭曲Blanchfield对，并给出了G在一个有对合的Ore域上的幺正表示。
We define the twisted Blanchfield pairing of a symmetric triad of chain complexes over a group ring Z[G], together with a unitary representation of G over an Ore domain with involution.
We prove that the pairing is sesquilinear, and we prove that it is hermitian and nonsingular under certain extra conditions. A twisted Blanchfield pairing is then associated to a 3-manifold together with a decomposition of its boundary into two pieces and a unitary representation of its fundamental group.