Plumbing and computation of crosscap number
Noboru Ito, Kaito Yamada
TL;DR
This paper introduces a new deformation technique for plumbing and develops a data structure to aid computationally in determining the crosscap numbers of alternating knots.
Contribution
It presents a novel deformation of plumbing and a data structure for computer-aided calculation of crosscap numbers in knot theory.
Findings
New deformation of plumbing introduced
Data structure for computational crosscap number calculation
Application to alternating knots
Abstract
We introduce a "deformation" of plumbing. We also define a structure of data used in a calculation by computer aid of the crosscap numbers of alternating knots.
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