Last updated
2024-04-01T10:53:38.683+01:00
Abstract
It is a very old conjecture that the crossing number of knots is additive
under connected sum. In other words, if K#K' is the connected sum of knots K
and K', then does the equality c(K#K') = c(K) + c(K') hold? We prove that
c(K#K') is at most c(K) + c(K') and at least (c(K) + c(K'))/152.
under connected sum. In other words, if K#K' is the connected sum of knots K
and K', then does the equality c(K#K') = c(K) + c(K') hold? We prove that
c(K#K') is at most c(K) + c(K') and at least (c(K) + c(K'))/152.
Symplectic ID
48501
Download URL
http://arxiv.org/abs/0805.4706v2
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Publication type
Journal Article
Publication date
30 May 2008