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2 results

  • Monodromy Action on Unknotting Tunnels in Fiber Surfaces

  • Jessica Banks, Matt Rathbun
  • Journal:
    Canadian Journal of Mathematics / Volume 68 / Issue 6 / 01 December 2016
    Published online by Cambridge University Press:
    20 November 2018, pp. 1201-1226
    Print publication:
    01 December 2016
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  • In a 2012 paper, the second author showed that a tunnel of a tunnel number one, fibered link in ${{S}^{3}}$ can be isotoped to lie as a properly embedded arc in the fiber surface of the link. In this paper we observe that this is true for fibered links in any 3-manifold, we analyze how the arc behaves under the monodromy action, and we show that the tunnel arc is nearly clean, with the possible exception of twisting around the boundary of the fiber.

  • CLEAN/MEM Deconvolution Errors: Semicompact Sources

  • D. S. Briggs, T. J. Cornwell
  • Journal:
    Symposium - International Astronomical Union / Volume 158 / 1994
    Published online by Cambridge University Press:
    19 July 2016, pp. 212-214
    Print publication:
    1994
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  • We have run a number of simulations investigating the limitations of noiseless point spread deconvolution with the VLA. On-source errors of more than .01 and off-source dynamic ranges of less than 15,000 were found for some parameters typical of high precision observations. Deconvolution errors were not confined to the support of the source, and limit the dynamic range in at least one VLA observation.