We prove that every algebraic stack, locally of finite type over an algebraically closed field
with affine stabilizers, is étale-locally a quotient stack in a neighborhood of a point with a …

Birational invariance in logarithmic Gromov–Witten theory Page 1 Birational invariance in
logarithmic Gromov–Witten theory Dan Abramovich and Jonathan Wise Compositio Math …

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 …

This is the first in a pair of papers developing a framework for the application of logarithmic
structures in the study of singular curves of genus 1. We construct a smooth and proper …

The extraordinary feature of Gromov–Witten invariants distinguishing them from the
enumerative invariants with which they sometimes fraternize is their deformation invariance …

Following the idea of Aganagic–Okounkov [2], we study vertex functions for hypertoric
varieties, defined by K-theoretic counting of quasimaps from P 1. We prove the 3d mirror …

We prove that the moduli space of stable logarithmic maps from logarithmic curves to a fixed
target logarithmic scheme is a proper algebraic stack when the target scheme is projective …

Given a smooth curve with weighted marked points, the Abel–Jacboi map produces a line
bundle on the curve. This map fails to extend to the full boundary of the moduli space of …

We introduce marked relative Pandharipande-Thomas (PT) invariants for a pair (X, D) of a
smooth projective threefold and a smooth divisor. These invariants are defined by …

We study the Chow ring of the moduli stack of prestable curves and define the notion of
tautological classes on this stack. We extend formulas for intersection products and …