By Costantino F., Thurston D.

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Of Math. (2) 51 (1950) 499–513. ´ 7. M. Gromov, ‘Volume and bounded cohomology’, Inst. Hautes Etudes Sci. Publ. Math. 56 (1982) 5–99. 8. M. Gromov, ‘Singularities, expanders and topology of maps. part 1: Homology versus volume in the spaces ´ of cycles’, Preprint, Institut des Hautes Etudes Scientifiques, 2007. 9. J. Hass and J. C. Lagarias, ‘The minimal number of triangles needed to span a polygon embedded in Rd ’, Discrete and computational geometry: The Goodman–Pollack festschrift, Algorithms and Combinatorics 25 (Springer, Berlin, 2003) 509–526.

Lescop, Global surgery formula for the Casson–Walker invariant, Annals of Mathematics Studies 140 (Princeton University Press, Princeton, NJ, 1996). 22. H. Levine, Classifying immersions into R4 over stable maps of 3-manifolds into R2 , Lecture Notes in Mathematics 1157 (Springer, Berlin, 1985). 23. H. Levine, ‘Stable mappings of 3-manifolds into the plane’, Singularities, Warsaw, 1985, Banach Center Publications 20 (PWN, Warsaw, 1988) 279–289. 24. A. Markov, ‘The insolubility of the problem of homeomorphy’, Dokl.

Math. 56 (1982) 5–99. 8. M. Gromov, ‘Singularities, expanders and topology of maps. part 1: Homology versus volume in the spaces ´ of cycles’, Preprint, Institut des Hautes Etudes Scientifiques, 2007. 9. J. Hass and J. C. Lagarias, ‘The minimal number of triangles needed to span a polygon embedded in Rd ’, Discrete and computational geometry: The Goodman–Pollack festschrift, Algorithms and Combinatorics 25 (Springer, Berlin, 2003) 509–526. 10. J. Hass, J. C. Lagarias and W. P. Thurston, ‘Area inequalities for embedded disks spanning unknotted curves’, J.

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3-manifolds efficiently bound 4-manifolds by Costantino F., Thurston D.


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