All Outputs (2)

A multivariable Casson–Lin type invariant (2020)
Journal Article
Benard, L., & Conway, A. (2020). A multivariable Casson–Lin type invariant. Annales de l'Institut Fourier, 70(3), 1029-1084. https://doi.org/10.5802/aif.3330

We introduce a multivariable Casson–Lin type invariant for links in S3. This invariant is defined as a signed count of irreducible SU(2) representations of the link group with fixed meridional traces. For 2-component links with linking number one, th... Read More about A multivariable Casson–Lin type invariant.

Splitting numbers and signatures (2016)
Journal Article
David, C., Conway, A., & Zacharova, K. (2016). Splitting numbers and signatures. Proceedings of the American Mathematical Society, 144, 5443-5455. https://doi.org/10.1090/proc/13156

The splitting number of a link is the minimal number of crossing changes between different components required to convert it into a split link. We obtain a lower bound on the splitting number in terms of the (multivariable) signature and nullity. Alt... Read More about Splitting numbers and signatures.