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INTRODUCTION TO VIRTUAL SURFACE-KNOT THEORY

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In this paper, we introduce the notion of a virtual surface-knot as a 2-dimensional generalization of a virtual knot. We define the upper and lower groups of a virtual surface-knot to prove that there are infinitely many non-classical virtual surface-knots.
Title: INTRODUCTION TO VIRTUAL SURFACE-KNOT THEORY
Description:
In this paper, we introduce the notion of a virtual surface-knot as a 2-dimensional generalization of a virtual knot.
We define the upper and lower groups of a virtual surface-knot to prove that there are infinitely many non-classical virtual surface-knots.

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