Taesu Kim

collaborators

6 papers

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

$L_{\infty}$ -Kuranishi spaces and the moduli space of pseudoholomorphic disks

Taesu Kim

We show that the moduli space of pseudoholomorphic disks is an example of the $L_{\infty}$ -Kuranishi spaces introduced in \cite{Kim1}, provided that a condition for the existence o…

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…

math.SG2024

Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization

Taesu Kim, Yong-Geun Oh

In this paper, we first provide precise tensorial formulae for the asymptotic operators of contact instantons $w : I^˙ £ \to Q$ and of pseudoholomorphic curves $u:(\dotÎ£,j) \to (Q…

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

L∞​-Kuranishi spaces and the moduli space of pseudoholomorphic disks

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

Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization

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

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

$L_{\infty}$ -Kuranishi spaces and the moduli space of pseudoholomorphic disks

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