$MODLI moduli

Latest papers

1. Gauss-Manin connection in disguise: limiting periods and quasi-Jacobi forms math.AG · 19 Oct · 1 hit

   We construct a six-dimensional algebraic moduli space of elliptic curves equipped with two ordered marked points, an enhanced relative de Rham frame,…

2. A Fourier expansion principle for coherent cohomology of powers of Tate curves math.NT · 19 Oct · 1 hit

   …classification of polarized degenerations and thus in the construction of toroidal compactifications of moduli spaces of polarized abelian varieties. This article can be considered as a theory of Fourier…

3. Integrable distortion I: Weil--Petersson circle homeomorphisms and the Schoen conjecture math.CV · 18 Oct · 1 hit

   …\] lie in Guo's $p$-integrable Teichm"uller space $T^p$. A capacity estimate for boundary moduli for the quasisymmetric ratio yields a derivative-free characterisation of $T^p$, essentially Bishop's…

4. Concurrent two-scale topology optimization of printable bone scaffolds via rectified-flow generation and exact latent-space refinement physics.comp-ph · 18 Oct · 1 hit

   …refinements produce printable cells with maximum relative errors under 1\% across six prescribed engineering moduli. Constructing the implant from a single tiled cell reproduces intact whole-femur compliance within…

5. Torelli theorem for the moduli spaces of twisted vector bundles on smooth projective curves math.AG · 18 Oct · 3 hits

   We prove Torelli theorems for moduli space of twisted vector bundles on smooth projective curves over an arbitrary field of characteristic…

6. Non-existence of Negative Weight Derivations of the Moduli Algebras of Isolated Weighted Homogeneous Hypersurface Singularities math.AG · 18 Oct · 3 hits

   …isomorphism class of an isolated complex hypersurface singularity is determined by its dimension and its moduli algebra. Yau's conjecture asserts that the moduli algebra of an isolated weighted homogeneous…

7. The section conjecture for generic pointed curves math.AG · 18 Oct · 3 hits

   Let $k/\mathbb Q$ be finitely generated, let $g\geq3$ and $n\geq1$, and let $\mathcal M_{g,n/k}$ be the moduli stack of smooth proper genus-$g$ curves with $n$ distinct ordered markings. Put $K=k(\mathcal…

8. Eynard-Orantin Topological Recursion, Moduli-Space Virasoro Constraints, and Semisimple CohFTs math-ph · 18 Oct · 1 hit

   We use Virasoro constraints to prove Eynard's intersection-number formula for Eynard-Orantin topological…