Definition of Alexander polynomial in English:

Alexander polynomial

noun

Mathematics
  • A polynomial in one variable that can be constructed for any knot (based on the number and type of crossings present in a two-dimensional representation of the knot), and is the same for any two knots which are topologically equivalent.

    Although topologically equivalent knots necessarily have the same Alexander polynomial, knots having the same Alexander polynomial are not necessarily equivalent.

Pronunciation

Alexander polynomial

/alɪɡˌzɑːndə pɒlɪˈnəʊmɪəl/ /alɪɡˌzandə pɒlɪˈnəʊmɪəl/

Origin

1930s; earliest use found in American Journal of Mathematics. From the name of James Waddell Alexander, U.S. mathematician, who suggested this method of characterizing knots in 1928 + polynomial.