Tunnel number degeneration under the connected sum of prime knots
 
 
Description:  In this talk, a study on 2-string free tangle decompositions of knots with tunnel number two will be presented. As an application, we construct infinitely many counter-examples to a conjecture in the literature stating that the tunnel number of the connected sum of prime knots doesn't degenerate by more than one: t(K1\# K2)\geq t(K1)+t(K2)-1, for K1 and K2 prime knots.
Date:  2012-02-15
Start Time:   14:30
Speaker:  João Nogueira (CMUC/Univ. Coimbra)
Institution:  CMUC
Place:  Sala 5.4
Research Groups: -Geometry
See more:   <Main>  
 
© Centre for Mathematics, University of Coimbra, funded by
Science and Technology Foundation
Powered by: rdOnWeb v1.4 | technical support