qdm\] for details).

The quantum connection has a regular singularity at $z=\infty$, and a irregular singularity at $z=0$. If the quantum cohomology ring is semisimple, we have a matrix called a Stokes matrix. We consider the following form of Dubrovin’s conjecture:

\[conject\] If the quantum cohomology ring of $X$ is semisimple, then there exists a full exceptional collection $E_1,\dots, E_m$ of $D^b(X)$ such that the Stokes matrix of $(\mathcal{H}_X,\nabla)$ at $z=0$ is equal to the matrix $(\chi(E_i, E_j))_{i, j}$, where $\chi(E,F):=\sum_k(-1)^k\dim \mathrm{Hom}(E,F[k])$ for $E,F\in D^b(X)$.

Conjecture $\ref{conject}$ has been proved for some $X$ with semisimple quantum cohomology rings [@morsto], [@guzsto], [@iwasto], [@uedsto2], [@uedsto1], etc.

Gamma conjectures {#intro gamma}
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Gamma conjecture II proposed by Galkin-Golyshev-Iritani [@ggi] refines Conjecture \[conject\]. The conjecture is described as a coincidence of two kinds of cohomology classes of $X$: Asymptotic classes and Gamma classes.

Let $C_X$ be the set of eigenvalues of the linear operator $c_1(X)*_0$ on ${H^\bullet(X)}$. Fix a real number $\theta_\circ$ (for simplicity of notation, we assume $0\leq \theta_\circ < 2\pi$). We assume that $\theta_\circ$ is generic with respect to $-C_X$ in a certain sense (see §\[stofil\]). Then we have an ordering $\tau_{\theta_\circ}:-C_X{\xrightarrow{\sim}}\{1,\dots, m\}$. If the quantum cohomology ring of $X$ is semisimple, 