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- Q7206325 subject Q7009906.
- Q7206325 abstract "In mathematics, the Pochhammer contour, introduced by Camille Jordan (1887) and Leo Pochhammer (1890), is a contour in the complex plane with two points removed, used for contour integration. If A and B are loops around the two points, both starting at some fixed point P, then the Pochhammer contour is the commutator ABA−1B−1, where the superscript −1 denotes a path taken in the opposite direction. With the two points taken as 0 and 1, the fixed basepoint P being on the real axis between them, an example is the path that starts at P, encircles the point 1 in the counter-clockwise direction and returns to P, then encircles 0 counter-clockwise and returns to P, after that circling 1 and then 0 clockwise, before coming back to P. The class of the contour is an actual commutator when it is considered in the fundamental group with basepoint P of the complement in the complex plane (or Riemann sphere) of the two points looped. When it comes to taking contour integrals, moving basepoint from P to another choice Q makes no difference to the result, since there will be cancellation of integrals from P to Q and back.".
- Q7206325 thumbnail Pochhammer.curve.svg?width=300.
- Q7206325 wikiPageExternalLink jordan.pdf.
- Q7206325 wikiPageWikiLink Q1434658.
- Q7206325 wikiPageWikiLink Q1626416.
- Q7206325 wikiPageWikiLink Q2989763.
- Q7206325 wikiPageWikiLink Q328998.
- Q7206325 wikiPageWikiLink Q468881.
- Q7206325 wikiPageWikiLink Q485287.
- Q7206325 wikiPageWikiLink Q576728.
- Q7206325 wikiPageWikiLink Q662830.
- Q7206325 wikiPageWikiLink Q7009906.
- Q7206325 wikiPageWikiLink Q7604.
- Q7206325 wikiPageWikiLink Q7996825.
- Q7206325 wikiPageWikiLink Q825857.
- Q7206325 wikiPageWikiLink Q856103.
- Q7206325 wikiPageWikiLink Q894166.
- Q7206325 wikiPageWikiLink Q912887.
- Q7206325 comment "In mathematics, the Pochhammer contour, introduced by Camille Jordan (1887) and Leo Pochhammer (1890), is a contour in the complex plane with two points removed, used for contour integration. If A and B are loops around the two points, both starting at some fixed point P, then the Pochhammer contour is the commutator ABA−1B−1, where the superscript −1 denotes a path taken in the opposite direction.".
- Q7206325 label "Pochhammer contour".
- Q7206325 depiction Pochhammer.curve.svg.