2025/02/16 by G. Y. Kim, Kim, Geunyoung · 2 citations
Mathematics · Engineering · #Geometric and Algebraic Topology #Advanced Materials and Mechanics #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2502.11314
For k ≥ 0 and n ≥ 2k+1, we show that every n-dimensional k-handlebody is the product of a 2k-dimensional k-handlebody and the standard (n-2k)-ball. For k ≥ 2 and n ≥ 2k, we introduce (n,k)-Kirby diagrams for some n-dimensional k-handlebodies, where (4,2)-Kirby diagrams correspond to the original Kirby diagrams for 4-dimensional 2-handlebodies.