This paper constructs a Kuranishi structure for the moduli stack of holomorphic curves in exploded manifolds. To avoid some technicalities of abstract Kuranishi structures, we embed our Kuranishi structure inside a moduli stack of curves. The construction also works for... View more
 P. Deligne and D. Mumford. The irreducibility of the space of curves of given genus. Inst. Hautes E´tudes Sci. Publ. Math., (36):75-109, 1969.
 Kenji Fuakay, Yong-Geun Oh, Hiroshi Ohta, and Kaoru Ono. Technical details on kuranishi structure and virtual fundamental chain. arXiv:12094410.
 Kenji Fukaya and Kaoru Ono. Arnold conjecture and Gromov-Witten invariant. Topology, 38(5):933-1048, 1999.
 Kenji Fukaya and Kaoru Ono. Floer homology and Gromov-Witten invariant over integer of general symplectic manifolds-summary. In Taniguchi Conference on Mathematics Nara '98, volume 31 of Adv. Stud. Pure Math., pages 75-91. Math. Soc. Japan, Tokyo, 2001.
 H. Hofer, K. Wysocki, and E. Zehnder. A general Fredholm theory. I. A splicing-based differential geometry. J. Eur. Math. Soc. (JEMS), 9(4):841-876, 2007.
 Dominic Joyce. D-manifolds and d-orbifolds: a theory of derived diferential geometry. Unfinished book available here: http://people.maths.ox.ac.uk/ joyce/dmanifolds.html.
 Dominic Joyce. Kuranishi bordism and kuranishi homology. math.SG/0707.3572v4, 2008.
 Finn F. Knudsen. The projectivity of the moduli space of stable curves. II. The stacks Mg,n. Math. Scand., 52(2):161-199, 1983.