Algebraic & Geometric Topology Volume 13, issue 1 (2013)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

Homological stability properties of spaces of rational $J$–holomorphic curves in $\mathbb{P}^2$

Jeremy Miller

Algebraic & Geometric Topology 13 (2013) 453–478

DOI: 10.2140/agt.2013.13.453

Bibliography

1	M Abreu, Topology of symplectomorphism groups of S² × S², Invent. Math. 131 (1998) 1 MR1489893
2	C P Boyer, B M Mann, Monopoles, nonlinear σ models, and two-fold loop spaces, Comm. Math. Phys. 115 (1988) 571 MR933456
3	F R Cohen, R L Cohen, B M Mann, R J Milgram, The topology of rational functions and divisors of surfaces, Acta Math. 166 (1991) 163 MR1097023
4	F R Cohen, R L Cohen, B M Mann, R J Milgram, The homotopy type of rational functions, Math. Z. 213 (1993) 37 MR1217669
5	M Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718
6	H Hofer, V Lizan, J C Sikorav, On genericity for holomorphic curves in four-dimensional almost-complex manifolds, J. Geom. Anal. 7 (1997) 149 MR1630789
7	S Ivashkovich, V Shevchishin, Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls, Invent. Math. 136 (1999) 571 MR1695206
8	J P May, The geometry of iterated loop spaces, 271, Springer (1972) MR0420610
9	D McDuff, The local behaviour of holomorphic curves in almost complex 4–manifolds, J. Differential Geom. 34 (1991) 143 MR1114456
10	D McDuff, D Salamon, J–holomorphic curves and quantum cohomology, 6, Amer. Math. Soc. (1994) MR1286255
11	G Segal, The topology of spaces of rational functions, Acta Math. 143 (1979) 39 MR533892
12	J C Sikorav, The gluing construction for normally generic J–holomorphic curves, from: "Symplectic and contact topology : interactions and perspectives (Toronto, ON/Montreal, QC, 2001)", Fields Inst. Commun. 35, Amer. Math. Soc. (2003) 175 MR1969276