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A note on genera of band-connected sums that are fibered

Geometric Topology 2018-04-06 v1

Abstract

We show that if a fibered knot KK is expressed as a band--connected sum of K1,,KnK_1, \ldots, K_n, then each KiK_i is fibered, and the genus of KK is greater than or equal to that of the connected sum of K1,,KnK_1,\ldots,K_n.

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Cite

@article{arxiv.1804.01890,
  title  = {A note on genera of band-connected sums that are fibered},
  author = {Katura Miyazaki},
  journal= {arXiv preprint arXiv:1804.01890},
  year   = {2018}
}

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3 pages