902 citations
- Columbia UniversityUS332 papers
- University of California, Santa CruzUS142 papers
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- Center for Astrophysics Harvard & SmithsonianUS136 papers
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15 papers · 1 filter
Staircase symmetries in Hirzebruch surfaces
Nicki Magill, Dusa McDuff
This paper continues the investigation of staircases in the family of Hirzebruch surfaces formed by blowing up the projective plane with weight b, that was started in Bertozzi, Hol…
Counting curves with local tangency constraints
Dusa McDuff, Kyler Siegel
We construct invariants for any closed semipositive symplectic manifold which count rational curves satisfying tangency constraints to a local divisor. More generally, we introduce…
Constructing the virtual fundamental class of a Kuranishi atlas
Dusa McDuff
Consider a space , such as a compact space of -holomorphic stable maps, that is the zero set of a Kuranishi atlas. This note explains how to define the virtual fundamental cl…
The ghost stairs stabilize to sharp symplectic embedding obstructions
Dan Cristofaro-Gardiner, Richard Hind, Dusa McDuff
In determining when a four-dimensional ellipsoid can be symplectically embedded into a ball, McDuff and Schlenk found an infinite sequence of "ghost" obstructions that generate an…
The topology of Kuranishi atlases
Dusa McDuff, Katrin Wehrheim
Kuranishi structures were introduced in the 1990s by Fukaya and Ono for the purpose of assigning a virtual cycle to moduli spaces of pseudoholomorphic curves that cannot be regular…
Smooth Kuranishi atlases with isotropy
Dusa McDuff, Katrin Wehrheim
Kuranishi structures were introduced in the 1990s by Fukaya and Ono for the purpose of assigning a virtual cycle to moduli spaces of pseudoholomorphic curves that cannot be regular…