Are braid links proper links? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T06:25:49Z http://mathoverflow.net/feeds/question/53731 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/53731/are-braid-links-proper-links Are braid links proper links? tuppsphd 2011-01-29T18:34:51Z 2011-01-30T05:01:09Z <p>Are braid links proper links? Or are the concepts involved unrelated?</p> http://mathoverflow.net/questions/53731/are-braid-links-proper-links/53761#53761 Answer by Paul for Are braid links proper links? Paul 2011-01-30T05:01:09Z 2011-01-30T05:01:09Z <p>According to the definitions in your comment, the closure of the 2 stranded braid with braid word $\sigma_1^6$ is not proper, since the closure is a 2 component link with linking number 3.</p> <p>It's hard to think of a more straightforward definition than what murakami says, but if you want examples, any link with all pairwise linking numbers even is proper. If you want odd linking number consider three fibers of the Hopf fibration.</p>