Open AccessALEXANDER–LIN TWISTED POLYNOMIALS
Author(s) -
Daniel S. Silver,
Susan Williams
Publication year - 2011
Publication title -
journal of knot theory and its ramifications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.552
H-Index - 39
eISSN - 1793-6527
pISSN - 0218-2165
DOI - 10.1142/s0218216511008838
Subject(s) - alexander polynomial , mathematics , trefoil , trefoil knot , homfly polynomial , knot polynomial , knot (papermaking) , twist , pure mathematics , skein relation , combinatorics , quantum invariant , knot invariant , knot theory , polynomial , algebra over a field , discrete mathematics , matrix polynomial , geometry , square free polynomial , mathematical analysis , archaeology , chemical engineering , engineering , history
Lin's definition of twisted Alexander knot polynomial is extended for finitely presented groups. Cha's fibering obstruction theorem is generalized. The group of the 2-twist-spun trefoil knot is seen to have a faithful representation that yields a trivial twisted Alexander polynomial.
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