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>