nLab Robion Kirby

• personal page

• institute page

• Wikipedia entry

Selected writings

Introducing Kirby calculus:

• Rob Kirby, A Calculus for Framed Links in $S^3$. Inventiones Mathematicae, vol. 45 (1978), pp. 35–56 (dml:142535)

On pin⁺ bordism:

• Robion Kirby, Laurence Taylor: A calculation of $Pin^+$ bordism groups, Commentarii Mathematici Helvetici 65 (1990) 434–447 [doi:10.1007/BF02566617, pdf]

• Robion Kirby, Laurence Taylor: Pin structures on low-dimensional manifolds. In Geometry of Low-Dimensional Manifolds 2: Symplectic Manifolds and Jones-Witten Theory, Cambridge University Press, 1991. [doi:10.1017/CBO9780511629341.015, pdf]

On the $E_8$ manifold:

• Robion Kirby, Paul Melvin: The $E_8$–manifold, singular fibers and handlebody decompositions, Geometry & Topology Monographs 2 (1999) 233-258 [arXiv:math/9911253, GTMon2:13]

On the triangulation conjecture for topological manifolds:

• Robion C. Kirby, Laurent C. Siebenmann, On the triangulation of manifolds and the Hauptvermutung, Bull. Amer. Math. Soc. 75 4 (1969) 742-749 [euclid:1183530633]

and introducing the Kirby-Siebenmann invariantL

• Robion C. Kirby, Laurence C. Siebenmann: Foundational Essays on Topological Manifolds, Smoothings and Triangulations, Princeton University Press (1977) [doi:10.1515/9781400881505, jstor:j.ctt1b9s024, pdf]

On canonical framings on 3-manifolds:

• Rob Kirby, Paul Melvin: Canonical framings for 3-manifolds, Turkish Journal of Mathematics 23 1 (1999) [pdf]

On cohomotopy of 4-manifolds:

• Robion Kirby, Paul Melvin, Peter Teichner: Cohomotopy sets of 4-manifolds, Geometry & Topology Monographs 18 (2012) 161-190 [arXiv:1203.1608, doi:10.2140/gtm.2012.18.161]

On Dennis Lee Johnson:

• Rob Kirby: Dennis Johnson (2019) [web]

Related entries

• Kirby calculus

• cohomotopy

category: people