Geometry & Topology Volume 21, issue 5 (2017)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP journals

Smooth Kuranishi atlases with isotropy

Dusa McDuff and Katrin Wehrheim

Geometry & Topology 21 (2017) 2725–2809

DOI: 10.2140/gt.2017.21.2725

Bibliography

1	N Bourbaki, General topology : Chapters 1–4, Springer (1989) MR979294
2	R Castellano, Genus zero Gromov–Witten axioms via Kuranishi atlases, preprint (2016) arXiv:1601.04048
3	K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory : anomaly and obstruction, II, 46, Amer. Math. Soc. (2009) MR2548482
4	K Fukaya, Y G Oh, H Ohta, K Ono, Technical details on Kuranishi structure and virtual fundamental chain, preprint (2012) arXiv:1209.4410
5	K Fukaya, Y G Oh, H Ohta, K Ono, Kuranishi structure, pseudoholomorphic curve, and virtual fundamental chain, I, preprint (2015) arXiv:1503.07631
6	K Fukaya, K Ono, Arnold conjecture and Gromov–Witten invariant, Topology 38 (1999) 933 MR1688434
7	H Hofer, K Wysocki, E Zehnder, A general Fredholm theory, II : Implicit function theorems, Geom. Funct. Anal. 19 (2009) 206 MR2507223
8	D McDuff, Groupoids, branched manifolds and multisections, J. Symplectic Geom. 4 (2006) 259 MR2314215
9	D McDuff, Smooth Kuranishi atlases, lecture slides (2013)
10	D McDuff, Notes on Kuranishi atlases, preprint (2014) arXiv:1411.4306
11	D McDuff, Strict orbifold atlases and weighted branched manifolds, preprint (2015) arXiv:1506.05350
12	D McDuff, K Wehrheim, Smooth Kuranishi atlases with trivial isotropy, preprint (2012) arXiv:1208.1340v1
13	D McDuff, K Wehrheim, The topology of Kuranishi atlases, preprint (2015) arXiv:1508.01844
14	D McDuff, K Wehrheim, The fundamental class of smooth Kuranishi atlases with trivial isotropy, J. Topol. Anal. (2016)
15	J R Munkres, Topology, Prentice Hall (2000)
16	J Pardon, An algebraic approach to virtual fundamental cycles on moduli spaces of pseudoholomorphic curves, Geom. Topol. 20 (2016) 779 MR3493097
17	A Weinstein, The volume of a differentiable stack, Lett. Math. Phys. 90 (2009) 353 MR2565044