Andrea Bianchi

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math.AT2026

Universal property of graph cobordisms

Andrea Bianchi, Adela Yiyu Zhang

We exhibit the symmetric monoidal $\infty$ -category $GrCob$ of graph cobordisms between spaces as a full $\infty$ -subcategory of the $\infty$ -category $\mathrm{Psh}(\mathr…

math.AT2025

String topology and graph cobordisms

Andrea Bianchi

We introduce a symmetric monoidal $\infty$ -category $GrCob$ of graph cobordisms between spaces, and use the homology of its morphism spaces to define string operations. Pr…

math.AT2025

Andrea Bianchi, Kaif Hilman, Dominik Kirstein +1

We introduce a notion of PoincarÃ© duality for pairs of $\infty$ -categories, extending PoincarÃ©-Lefschetz duality for pairs of spaces. This categorical extension yields an efficie…

Universal property of graph cobordisms

String topology and graph cobordisms

PoincarÃ© Duality Pairs of ∞-Categories

PoincarÃ© Duality Pairs of $\infty$ -Categories