The fundamental class of smooth Kuranishi atlases with trivial isotropy

DOI10.1142/S1793525318500048zbMath1381.53160arXiv1508.01560OpenAlexW2964280841MaRDI QIDQ4599152

Katrin Wehrheim, Dusa McDuff

Publication date: 18 December 2017

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01560

zbMATH Keywords

transversalityGromov-Witten invariantfinite-dimensional reductionpseudoholomorphic curvevirtual fundamental classKuranishi structureKuranishi atlasvirtual fundamental cycle

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Quotient spaces, decompositions in general topology (54B15) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Realizing cycles by submanifolds (57R95)

Related Items

Virtual cycles of gauged Witten equation, Smooth Kuranishi atlases with isotropy, Constructing the virtual fundamental class of a Kuranishi atlas, Automatic transversality in contact homology. I: Regularity, The fundamental class of smooth Kuranishi atlases with trivial isotropy, Floer homologies, with applications, Virtual neighborhood technique for moduli spaces of holomorphic curves, A polyfold proof of the Arnold conjecture, Contact homology and virtual fundamental cycles, Holomorphic curves in exploded manifolds: virtual fundamental class, Normal form of equivariant maps in infinite dimensions, The \(\mathrm{SO}(3)\) monopole cobordism and superconformal simple type

Uses Software

• VFC package

Cites Work

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