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Non-diffeomorphic minimal genus relative trisections of the same 4-manifold (2406.03113v1)

Published 5 Jun 2024 in math.GT

Abstract: We show the existence of a $4$-manifold with boundary that admits two non-diffeomorphic minimal genus relative trisections of the same $(g,k;p,b)$-type. To prove this, we introduce a simple operation that produces a trisection diagram of a closed $4$-manifold from a relative trisection diagram.

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