Andrea Bianchi

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20242026

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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

Poincaré Duality Pairs of $\infty$ -Categories

Andrea Bianchi, Kaif Hilman, Dominik Kirstein +1

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

math.CT2025

Symmetric monoidal extensions and graph cobordisms between finite sets

Andrea Bianchi

Given a symmetric monoidal $(\infty, n)$ -category $C$ and a space $X$ , we address the problem of explicitly describing the symmetric monoidal $(\infty, n)$ -category freely…

String topology and graph cobordisms

Poincaré Duality Pairs of ∞-Categories

Symmetric monoidal extensions and graph cobordisms between finite sets

Poincaré Duality Pairs of $\infty$ -Categories