As announced in Gross and Siebert (in Algebraic geometry: Salt Lake City 2015,
Proceedings of Symposia in Pure Mathematics, vol 97, no 2. AMS, Providence, pp 199–230 …

Let $ A=(a_1,\ldots, a_n) $ be a vector of integers which sum to $ k (2g-2+ n) $. The double
ramification cycle $\mathsf {DR} _ {g, A}\in\mathsf {CH}^ g (\mathcal {M} _ {g, n}) $ on the …

Let $ A=(a_1,\ldots, a_n) $ be a vector of integers with $ d=\sum_ {i= 1}^ n a_i $. By partial
resolution of the classical Abel-Jacobi map, we construct a universal twisted double …

We introduce a variant of stable logarithmic maps, which we call punctured logarithmic
maps. They allow an extension of logarithmic Gromov-Witten theory in which marked points …

Holomorphic anomaly equation for (P2 , ) and the Nekrasov-Shatashvili limit of local P Page 1
Forum of Mathematics, Pi (2021), Vol. 9:e3 1–57 doi:10.1017/fmp.2021.3 RESEARCH ARTICLE …

Let X be a nonsingular projective algebraic variety over C, and let M¯ g, n, β (X) be the
moduli space of stable maps f:(C, x 1,…, xn)→ X from genus g, n‐pointed curves C to X of …

Orbifold and logarithmic structures provide independent routes to the virtual enumeration of
curves with tangency orders for a simple normal crossings pair $(X| D) $. The theories do not …

Using heuristics from mirror symmetry, combinations of Gross, Hacking, Keel, Kontsevich,
and Siebert have given combinatorial constructions of canonical bases of “theta functions” …

Higher genus relative Gromov–Witten theory and double ramification cycles - Fan - 2021 -
Journal of the London Mathematical Society - Wiley Online Library Skip to Article Content Skip …

Variational autoencoders (VAEs) play an important role in high-dimensional data generation
based on their ability to fuse the stochastic data representation with the power of recent …