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  A lower bound for the double slice genus

Chen, W. (2021). A lower bound for the double slice genus. Transactions of the American Mathematical Society, 374(4), 2541-2558. doi:10.1090/tran/8191.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-7FEA-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0008-8003-3
Genre: Journal Article

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1801.04030.pdf (Preprint), 528KB
 
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 Creators:
Chen, Wenzhao1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, Vivatsgasse 7, 53111 Bonn, DE, ou_3029201              

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Free keywords: Mathematics, Geometric Topology
 Abstract: In this paper, we develop a lower bound for the double slice genus of a knot using Casson-Gordon invariants. As an application, we show that the double slice genus can be arbitrarily larger than twice the slice genus. As an
analogue to the double slice genus, we also define the superslice genus of a knot, and give both an upper bound and a lower bound in the topological category.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 1801.04030
URI: https://arxiv.org/abs/1801.04030
DOI: 10.1090/tran/8191
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Title: Transactions of the American Mathematical Society
  Abbreviation : Trans. Amer. Math. Soc.
Source Genre: Journal
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Pages: - Volume / Issue: 374 (4) Sequence Number: - Start / End Page: 2541 - 2558 Identifier: -