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Bridge Number and Conway Products

Ryan Cayman Blair

出版	University of California, Santa Barbara, 2010
ISBN	11242176739781124217673
URL	http://books.google.com.hk/books?id=uJmMnQAACAAJ&hl=&source=gbs_api

註釋

In this dissertation, we give a structure theorem for c-incompressible Conway spheres in link complements in terms of the standard height function on S3. We go on to define the generalized Conway product, K1*cK 2, of two links K1 and K 2. Provided K1*cK 2 satisfies minor additional hypotheses, we prove the lower bound beta(K1*cK2) & ge; beta(K1)-1 for the bridge number of the generalized Conway product where K1 is the distinguished factor. Finally, we present examples illustrating that this lower bound is tight.