Volume 19, issue 1 (2019)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Constructing the virtual fundamental class of a Kuranishi atlas

Dusa McDuff

Algebraic & Geometric Topology 19 (2019) 151–238
Bibliography
1 R Castellano, Smoothness of Kuranishi atlases on Gromov–Witten moduli spaces, preprint (2015) arXiv:1511.04350
2 R Castellano, Genus zero Gromov–Witten axioms via Kuranishi atlases, preprint (2016) arXiv:1601.04048
3 K Fukaya, K Ono, Arnold conjecture and Gromov–Witten invariant, Topology 38 (1999) 933 MR1688434
4 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
5 H H W Hofer, Polyfolds and Fredholm theory, from: "Lectures on geometry" (editor N M J Woodhouse), Oxford Univ. Press (2017) 87 MR3676594
6 H Hofer, K Wysocki, E Zehnder, Applications of polyfold theory, I : The polyfolds of Gromov–Witten theory, 1179, Amer. Math. Soc. (2017) MR3683060
7 H Hofer, K Wysocki, E Zehnder, Polyfold and Fredholm theory, preprint (2017) arXiv:1707.08941
8 W S Massey, Homology and cohomology theory : an approach based on Alexander–Spanier cochains, 46, Dekker (1978) MR0488016
9 D McDuff, Groupoids, branched manifolds and multisections, J. Symplectic Geom. 4 (2006) 259 MR2314215
10 D McDuff, Notes on Kuranishi atlases, preprint (2014) arXiv:1411.4306
11 D McDuff, Strict orbifold atlases and weighted branched manifolds, J. Symplectic Geom. 15 (2017) 507 MR3683790
12 D McDuff, K Wehrheim, Smooth Kuranishi atlases with isotropy, Geom. Topol. 21 (2017) 2725 MR3687107
13 D McDuff, K Wehrheim, The topology of Kuranishi atlases, Proc. Lond. Math. Soc. 115 (2017) 221 MR3684105
14 D McDuff, K Wehrheim, The fundamental class of smooth Kuranishi atlases with trivial isotropy, J. Topol. Anal. 10 (2018) 71 MR3737511
15 J Pardon, An algebraic approach to virtual fundamental cycles on moduli spaces of pseudo-holomorphic curves, Geom. Topol. 20 (2016) 779 MR3493097
16 M F Tehrani, K Fukaya, Gromov–Witten theory via Kuranishi structures, preprint (2017) arXiv:1701.07821
17 D Yang, The polyfold–Kuranishi correspondence, I : A choice-independent theory of Kuranishi structures, preprint (2014) arXiv:1402.7008