Abstract Proceedings of ICIRESM – 2019
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TUBE-EQUIVALANCE OF SPANNING SURFACES AND SEIFERT SURFACES
In this paper, connectivity is added to the assumption and we show: If S1 and S2 are Seifert surfaces for the link L, then S1 and S2 are tube-equivalent. The proof proceeds by examining how changes to a projection of a link affect the corresponding surfaces. Maintaining connectedness of a surface allows for controlling the first homology and the Seifert pairing by S-equivalence, and thus, is used in proving that the Alexander polynomial of the given link is an invariant
Seifert surfaces, Alexander polynomial
30/08/2019
162
19160
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September 27th, 2025
Notification of Acceptance
October 25th, 2025
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November 11th, 2025
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November 28th, 2025