Algebraic & Geometric Topology Volume 20, issue 2 (2020)

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

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Trisections, intersection forms and the Torelli group

Peter Lambert-Cole

Algebraic & Geometric Topology 20 (2020) 1015–1040

DOI: 10.2140/agt.2020.20.1015

Bibliography

1	J S Birman, R Craggs, The μ–invariant of 3–manifolds and certain structural properties of the group of homeomorphisms of a closed, oriented 2–manifold, Trans. Amer. Math. Soc. 237 (1978) 283 MR482765
2	S K Donaldson, An application of gauge theory to four-dimensional topology, J. Differential Geom. 18 (1983) 279 MR710056
3	B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
4	P Feller, M Klug, T Schirmer, D Zemke, Calculating the homology and intersection form of a 4–manifold from a trisection diagram, Proc. Natl. Acad. Sci. USA 115 (2018) 10869 MR3871789
5	M Freedman, R Kirby, A geometric proof of Rochlin’s theorem, from: "Algebraic and geometric topology, II" (editor R J Milgram), Proc. Sympos. Pure Math. XXXII, Amer. Math. Soc. (1978) 85 MR520525
6	D Gay, R Kirby, Trisecting 4–manifolds, Geom. Topol. 20 (2016) 3097 MR3590351
7	D Johnson, Quadratic forms and the Birman–Craggs homomorphisms, Trans. Amer. Math. Soc. 261 (1980) 235 MR576873
8	D Johnson, The structure of the Torelli group, II : A characterization of the group generated by twists on bounding curves, Topology 24 (1985) 113 MR793178
9	D Johnson, The structure of the Torelli group, III : The abelianization of 𝒯 , Topology 24 (1985) 127 MR793179
10	M A Kervaire, J W Milnor, On 2–spheres in 4–manifolds, Proc. Nat. Acad. Sci. U.S.A. 47 (1961) 1651 MR133134
11	R C Kirby, The topology of 4–manifolds, 1374, Springer (1989) MR1001966
12	R Kirby, P Melvin, The 3–manifold invariants of Witten and Reshetikhin–Turaev for sl(2, ℂ), Invent. Math. 105 (1991) 473 MR1117149
13	R C Kirby, M G Scharlemann, Eight faces of the Poincaré homology 3–sphere, from: "Geometric topology" (editor J C Cantrell), Academic, New York (1979) 113 MR537730
14	F Laudenbach, V Poénaru, A note on 4–dimensional handlebodies, Bull. Soc. Math. France 100 (1972) 337 MR317343
15	H B Lawson Jr., M L Michelsohn, Spin geometry, 38, Princeton Univ. Press (1989) MR1031992
16	S Morita, Casson’s invariant for homology 3–spheres and characteristic classes of surface bundles, I, Topology 28 (1989) 305 MR1014464
17	S Morita, On the structure of the Torelli group and the Casson invariant, Topology 30 (1991) 603 MR1133875
18	V A Rohlin, New results in the theory of four-dimensional manifolds, Doklady Akad. Nauk SSSR 84 (1952) 221 MR0052101
19	N Saveliev, Invariants for homology 3–spheres, 140, Springer (2002) MR1941324
20	F Waldhausen, Heegaard–Zerlegungen der 3–Sphäre, Topology 7 (1968) 195 MR227992