59 citations · 304 across the 50 of their papers we have counts for
63 papers
Algebraic Properties of Real Gromov-Witten Invariants
Penka Georgieva, Aleksey Zinger
We describe properties of the previously constructed all-genus real Gromov-Witten theory in the style of Kontsevich-Manin's axioms and other classical equations and reconstruction…
Geometric Properties of Real Gromov-Witten Invariants
Penka Georgieva, Aleksey Zinger
We collect geometric properties of the all-genus real Gromov-Witten theory and provide updates on its development since its introduction in 2015. We bring attention to a modificati…
Blowdowns of the Deligne-Mumford Spaces of Real Rational Curves
Xujia Chen, Aleksey Zinger
We describe a sequence of smooth quotients of the Deligne-Mumford moduli space of real rational curves with conjugate pai…
The Cohomology Ring of the Deligne-Mumford Moduli Space of Real Rational Curves with Conjugate Marked Points
Xujia Chen, Penka Georgieva, Aleksey Zinger
It is a long-established and heavily-used fact that the integral cohomology ring of the Deligne-Mumford moduli space of (complex) rational curves is the polynomial ring on the boun…
Pseudocycles for Borel-Moore Homology
Spencer Cattalani, Aleksey Zinger
Pseudocycles are geometric representatives for integral homology classes on smooth manifolds that have proved useful in particular for defining gauge-theoretic invariants. The Bore…
Normal Crossings Singularities for Symplectic Topology: Structures
Mohammad Farajzadeh Tehrani, Mark McLean, Aleksey Zinger
Our previous papers introduce topological notions of normal crossings symplectic divisor and variety, show that they are equivalent, in a suitable sense, to the corresponding geome…