Legendrian satellites and decomposable cobordisms

نویسندگان

چکیده

In this paper, we investigate the interactions between Legendrian satellite construction and existence of exact, orientable Lagrangian cobordisms knots. Given two knots tangles, construct a cobordism satellites by closures with extra twists on both top bottom to compensate for genus cobordism. If original were decomposable, then decomposable exists as well, again twists.

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ژورنال

عنوان ژورنال: Journal of Knot Theory and Its Ramifications

سال: 2022

ISSN: ['1793-6527', '0218-2165']

DOI: https://doi.org/10.1142/s0218216522500717