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2 results

  • ADVENTURES IN INVARIANT THEORY

  • Part of
  • P. D. JARVIS, J. G. SUMNER
  • Journal:
    The ANZIAM Journal / Volume 56 / Issue 2 / October 2014
    Published online by Cambridge University Press:
    15 December 2014, pp. 105-115
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  • We provide an introduction to enumerating and constructing invariants of group representations via character methods. The problem is contextualized via two case studies, arising from our recent work: entanglement invariants for characterizing the structure of state spaces for composite quantum systems; and Markov invariants, a robust alternative to parameter-estimation intensive methods of statistical inference in molecular phylogenetics.

  • Branched Covers of Tangles in Three-balls

  • Makiko Ishiwata, Józef H. Przytycki, Akira Yasuhara
  • Journal:
    Canadian Mathematical Bulletin / Volume 46 / Issue 3 / 01 September 2003
    Published online by Cambridge University Press:
    20 November 2018, pp. 356-364
    Print publication:
    01 September 2003
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  • We give an algorithm for a surgery description of a $p$-fold cyclic branched cover of ${{B}^{3}}$ branched along a tangle. We generalize constructions of Montesinos and Akbulut-Kirby.