Concordance invariants of knots are derived from the instanton homology groups with local coefficients, as introduced in earlier work of the authors. These concordance invariants include a 1-parameter family of homomorphisms ${\mathcal{f}}_r$, from the knot concordance group to $\mathbb{R}$. Prima facie, these concordance invariants have the potential to provide independent bounds on the genus and number of double points for immersed surfaces with boundary a given knot.

中文翻译：

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瞬间子和一些结的一致性不变量

节点的一致性不变量源自具有局部系数的瞬时同调群，如作者早期工作中所介绍的那样。这些一致性不变量包括一个 1 参数的同态族${\mathcal{F}}_r$，从结语索引组到 $\mathbb{电阻}$. 从表面上看，这些一致性不变量有可能为具有给定结的边界的浸没表面提供双点的属和数量的独立边界。