Yi Wang

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20242026

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math.AT2026

Comparing dg category models for path spaces via $A_{\infty}$ -functors

Manuel Rivera, Yi Wang

We construct a many-object dual version of Chen's iterated integral map. For any topological space X, the construction takes the form of an A-infinity functor between two dg catego…

math.AT2025

Open-Closed Hochschild Homology and the Relative Disk Mapping Space

Yi Wang, Hang Yuan

It is known that a model for the differential graded algebra (dga) of differential forms on the free loop space $L N$ of a simply connected smooth manifold $N$ is given by the Hochs…

Comparing dg category models for path spaces via A∞​-functors

Open-Closed Hochschild Homology and the Relative Disk Mapping Space

Comparing dg category models for path spaces via $A_{\infty}$ -functors