论文标题
双缠结的Heegaard漂浮
Heegaard Floer multicurves of double tangles
论文作者
论文摘要
我们描述了一个简单的公式，用于计算Heegaard Floer多缠结的双缠结的Heegaard Floer多晶体不变的结，调节补语不变。在Khovanov同源性的环境中，与类似的多重性不变性的比较证实，在卫星操作下，结浮子同源性和Khovanov同源性的行为差异很大，这与Arxiv的最新观察结果相呼应：2208.13612。我们还从Heegaard Floer A-Link卫星方面获得了L空间结的新表征。一路上，我们发现了一个卫星结的第一个例子，该卫星结的浮力同源性很薄。
We describe a simple formula for computing the Heegaard Floer multicurve invariant of double tangles from the Heegaard Floer multicurve invariant of knot complements. A comparison with a similar multicurve invariant for Conway tangles in the setting of Khovanov homology confirms that knot Floer homology and Khovanov homology behave very differently under satellite operations, echoing recent observations from arXiv:2208.13612. We also obtain a new characterisation of L-space knots in terms of Heegaard Floer A-link satellites. Along the way, we find the first example of a satellite knot whose knot Floer homology is thin.
