Tootfinder

This https://arxiv.org/abs/2402.09574 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

1D Landau-Ginzburg Superpotential of Big Quantum Cohomology of $\mathbb{CP}^2$
Using the inverse period map of the Gauss-Manin connection associated with $QH^{*}\bigl(\mathbb{CP}^2\bigr)$ and the Dubrovin construction of Landau-Ginzburg superpotential for Dubrovin-Frobenius manifolds, we construct a one-dimensional Landau-Ginzburg superpotential for the quantum cohomology of $\mathbb{CP}^2$. In the case of small quantum cohomology, the Landau-Ginzburg superpotential is expressed in terms of the cubic root of the $j$-invariant function. For big quantum cohomology, the one-…

Logrithmic Versions of Ginzburg's Sharp Operation for Free Divisors
Xia Liao, Xiping Zhang
https://arxiv.org/abs/2505.24236 https://

Logrithmic Versions of Ginzburg's Sharp Operation for Free Divisors
Let $M$ be a complex manifold, $D\subset M$ a free divisor and $U=M\setminus D$ its complement. In this paper we study the characteristic cycle $\textup{CC}(γ\cdot \ind_U)$ of the restriction of a constructible function $γ$ on $U$. We globalise Ginzburg's local sharp construction and introduce the log transversality condition, which is a new transversality condition about the relative position of $γ$ and $D$. We prove that the log transversality condition is satisfied if either $D$ is normal…

$L^2$-Hodge theory of Hybrid Landau-Ginzburg models of Calabi-Yau complete intersections
Jeehoon Park, Jaewon Yoo
https://arxiv.org/abs/2505.24218 https://…

$L^2$-Hodge theory of Hybrid Landau-Ginzburg models of Calabi-Yau complete intersections
Given a Calabi-Yau smooth projective complete intersection variety $V$ over $\C$, a hybrid Landau-Ginzburg (LG) model may be associated using the Cayley trick. This hybrid LG model comprises a non-compact Calabi-Yau manifold $X_{CY}$, and a holomorphic function $W$, defined on $X_{CY}$, such that the critical locus of $W$ is isomorphic to $V$. We construct a complete Kähler metric $\mathfrak{g}$ and a bounded Calabi-Yau volume form $Ω$ on $X_{CY}$ such that $(X_{CY},\mathfrak{g}, Ω)$ is a bo…

So, ihr könnt jetzt schon ein wenig im geheimnisvoll schimmernden Pazifik-Grünblau schwelgen, während ich vernünftige Fotos, Texte und das Listing für den Shop mache.
Handgemalter #wandklexschmuck, teils in 925 Sterlingsilber, teils in Edelstahl.
Hoffentlich ca 21:30 Uhr im Shop.

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Mehrweg ist Klimaschutz Gewinnspiel
Mach mit und gewinne eine von 16 Jahresrationen an Freigetränken aus umweltfreundlichen Mehrwegflaschen. Für Mehrweg und gegen Einwegmüll!

Complete universal scaling of first-order phase transitions in the two-dimensional Ising model
Yuxiang Zhang, Fan Zhong
https://arxiv.org/abs/2506.00515 ht…

Complete universal scaling of first-order phase transitions in the two-dimensional Ising model
Phase transitions, as one of the most intriguing phenomena in nature, are divided into first-order phase transitions (FOPTs) and continuous ones in current classification. While the latter shows striking phenomena of scaling and universality, the former has recently also been demonstrated to exhibit scaling and universal behavior within a mesoscopic, coarse-grained Landau-Ginzburg theory. Here we apply this theory to a microscopic model -- the paradigmatic Ising model, which undergoes FOPTs bet…

Ein sehr informativer Podcast über den gesteuerten Rechtsruck der U$A:
»Die Peter Thiel Story:
Peter Thiel ist der Strippenzieher hinter dem kulturellen Rechtsruck in den USA und einer der wichtigsten Unterstützer von Donald Trump. Mit Paypal und Facebook ist er reich geworden. Das ist die Geschichte des geheimnisvollen Tech-Milliardärs.«
🔊

Die Peter Thiel Story
Peter Thiel ist der Strippenzieher hinter dem kulturellen Rechtsruck in den USA und einer der wichtigsten Unterstützer von Donald Trump. Mit Paypal und Facebook ist er reich geworden. Das ist die Geschichte des geheimnisvollen Tech-Milliardärs.

Poiseuille flow of hyperbolic Ericksen-Leslie system in dimension two
Geng Chen, Tao Huang, Xiang Xu, Qingtian Zhang
https://arxiv.org/abs/2506.01223 https…

Poiseuille flow of hyperbolic Ericksen-Leslie system in dimension two
In this paper, we study the Poiseuille laminar flow in a tube for the full Ericksen-Leslie system. It is a parabolic-hyperbolic coupled system which may develop singularity in finite time. We will prove the global existence of energy weak solution, and the partial regularity of solution to system. We first construct global weak finite energy solutions by the Ginzburg- Landau approximation and the fixed-point arguments. Then we obtain the enhanced regularity of solution. Different from the solut…

This https://arxiv.org/abs/2307.15607 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Modularity of Landau-Ginzburg models
For each Fano threefold, we construct a family of Landau-Ginzburg models which satisfy many expectations coming from different aspects of mirror symmetry; they are log Calabi-Yau varieties with proper potential maps; they admit open algebraic torus charts on which the potential function $w$ restricts to a Laurent polynomial satisfying a deformation of the Minkowski ansatz; the general fibres of $w$ are Dolgachev-Nikulin dual to the anticanonical hypersurfaces in $X$. To do this, we study the de…

This https://arxiv.org/abs/2503.10090 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On characteristic cycles of irregular holonomic D-modules
Based on the recent progress in the irregular Riemann-Hilbert correspondence for holonomic D-modules, we show that the characteristic cycles of some standard irregular holonomic D-modules can be expressed as in the classical theorem of Ginsburg. For this purpose, we first prove a formula for the enhanced solution complexes of holonomic D-modules having a quasi-normal form, via which, to our surprise, their solution complexes can be calculated more easily by topological methods. In the formulati…