skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Watson, Liam"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; ; ; ; (, Mathematische Annalen)
    Abstract We prove an equivariant version of the Cosmetic Surgery Conjecture for strongly invertible knots. Our proof combines a recent result of Hanselman with the Khovanov multicurve invariants$${\widetilde{{{\,\textrm{Kh}\,}}}}$$ Kh ~ and$${\widetilde{{{\,\textrm{BN}\,}}}}$$ BN ~ . We apply the same techniques to reprove a result of Wang about the Cosmetic Crossing Conjecture and split links. Along the way, we show that$${\widetilde{{{\,\textrm{Kh}\,}}}}$$ Kh ~ and$${\widetilde{{{\,\textrm{BN}\,}}}}$$ BN ~ detect if a Conway tangle is split. 
    more » « less
  2. ; (, Geometry & Topology)
    Full Text Available 
  3. ; ; (, Proceedings of the London Mathematical Society)
    Full Text Available 
  4. ; ; ; (, Compositio Mathematica)
    null (Ed.)
    If $$Y$$ is a closed orientable graph manifold, we show that $$Y$$ admits a coorientable taut foliation if and only if $$Y$$ is not an L-space. Combined with previous work of Boyer and Clay, this implies that $$Y$$ is an L-space if and only if $$\unicode[STIX]{x1D70B}_{1}(Y)$$ is not left-orderable. 
    more » « less
    Full Text Available 
  5. ; (, Selecta Mathematica)
    null (Ed.)
    Full Text Available