Wirtinger presentation information

In mathematics, especially in group theory, a Wirtinger presentation is a finite presentation where the relations are of the form w g i w − 1 = g j {\displaystyle...

Wilhelm Wirtinger (19 July 1865 – 16 January 1945) was an Austrian mathematician, working in complex analysis, geometry, algebra, number theory, Lie groups...

fundamental group of an oriented link in general) can be computed in the Wirtinger presentation by a relatively simple algorithm. The unknot has knot group isomorphic...

possible to express longitudes and meridians of a knot as words in the Wirtinger presentation of the knot group, without reference to the knot itself. Fox, Ralph...

presentation (the Wirtinger presentation) in which the relations only involve conjugation. So, this presentation can also be used as a presentation of...

which gives another example of a non-abelian fundamental group. The Wirtinger presentation explicitly describes knot groups in terms of generators and relations...

at the time were Heinrich Behnke, Peter Thullen, Karl Stein, Wilhelm Wirtinger and Francesco Severi. Hartogs proved some basic results, such as every...

of the term "spectrum" has been attributed to an 1897 paper of Wilhelm Wirtinger on Hill differential equation (by Jean Dieudonné), and it was taken up...

been reprinted many times, a 1996 paperback has ISBN 0-521-09189-6.) Wirtinger, W. (1905). "Über eine besondere Dirichletsche Reihe". Journal für die...

states. Levi, following a then well established practice, does not use Wirtinger derivatives. Celli, Andrea; Mattaliano, Maurizio, eds. (2015), Eugenio...

and ∂ / ∂ z ¯ {\displaystyle \partial /\partial {\overline {z}}} are Wirtinger derivatives. Classically this differential equation was used by Gauss...