Taesu Kim

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20192026

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math.SG2026

Kuranishi chart categories and higher cocycle conditions

Taesu Kim

Given an $L_{\infty}$ -Kuranishi space introduced in \cite{Kim1}, we propose a notion called the Kuranishi chart category. Using the nerve of this category, together with a choice of…

math.SG2026

Categorical structures of Kuranishi spaces with $L_{\infty} [1]$ -algebras

Taesu Kim

We introduce $L_{\infty}$ -Kuranishi spaces by associating, to each chart, $L_{\infty} [1]$ -algebras defined on open neighborhoods of points in the zero locus of the Kuranishi sectio…

math.AT2026

Homotopy models for $L_{\infty} [1]$ -algebras in higher degrees

Taesu Kim

We propose a model of higher homotopy theory of $L_{\infty} [1]$ -morphisms as a natural generalization of the $A_{\infty}$ -homotopies defined by Fukaya-Oh-Ohta-Ono \cite{FOOO1}. Wit…

math.SG2026

Stratifications associated to generic closed two-forms and stratified $L_{\infty}$ spaces

Taesu Kim, Yong-Geun Oh

Jae-Suk Park and the second-named author introduce the deformation problem of coisotropic submanifolds of a symplectic manifold as the study of Mauer-Cartan moduli problem of an $L…

Kuranishi chart categories and higher cocycle conditions

Categorical structures of Kuranishi spaces with L∞​[1]-algebras

Homotopy models for L∞​[1]-algebras in higher degrees

Stratifications associated to generic closed two-forms and stratified L∞​ spaces

Categorical structures of Kuranishi spaces with $L_{\infty} [1]$ -algebras

Homotopy models for $L_{\infty} [1]$ -algebras in higher degrees

Stratifications associated to generic closed two-forms and stratified $L_{\infty}$ spaces