Nathaniel Bottman

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math.SG2026

Foundations of $(A_{\infty}, 2)$ -categories: from flow to linear

Nathaniel Bottman, Katrin Wehrheim

This paper provides a blueprint for the construction of a symplectic $(A_{\infty}, 2)$ -category, $Symp$ . We develop two ways of encoding the information in $Symp$ --…

math.SG2024

Adiabatic Fredholm Theory

Nathaniel Bottman, Katrin Wehrheim

We develop a robust functional analytic framework for adiabatic limits. This framework consist of a notion of adiabatic Fredholm family, several possible regularity properties, and…

math.SG2024

The focus-focus addition graph is immersed

Mohammed Abouzaid, Nathaniel Bottman, Yunpeng Niu

For a symplectic 4-manifold $M$ equipped with a singular Lagrangian fibration with a section, the natural fiberwise addition given by the local Hamiltonian flow is well-defined on…

Foundations of (A∞​,2)-categories: from flow to linear

Adiabatic Fredholm Theory

The focus-focus addition graph is immersed

Foundations of $(A_{\infty}, 2)$ -categories: from flow to linear