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Explore a mathematical lecture demonstrating the existence of links of 2-spheres in S^4 that can be split by an integer homology 3-sphere but not by the standard S^3. Learn about this collaborative research with Marco Golla that advances understanding of topological structures and their splitting properties. Discover the theoretical foundations and proof techniques used to establish this distinction between different types of homology spheres and their splitting capabilities. Examine the implications of this work for the broader field of topology and link theory. Gain insights into the sophisticated mathematical methods employed to analyze these complex geometric objects and their relationships. This presentation was recorded during the thematic meeting "Trisections and related topics" at the Centre International de Rencontres Mathématiques in Marseille, France.
