nLab Friedrich Hirzebruch

• Wikipedia entry

Selected writings

Early discussion of characteristic classes, cobordism theory, genera and introducing the notion of multiplicative sequences and characteristic series of genera:

• Friedrich Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Ergebnisse der Mathematik und ihrer Grenzgebiete 9, Springer (1956) [doi:10.1007/978-3-662-41083-7]

• Friedrich Hirzebruch, Topological methods in algebraic geometry, Grundlehren 131, Springer (1966) [doi:10.1007/978-3-642-62018-8, MR0202713 (34 #2573) Zbl 0843.14009]

Introducing topological K-theory:

• M. F. Atiyah, F. Hirzebruch, Riemann-Roch theorems for differentiable manifolds, Bull. Amer. Math Soc. vol. 65 (1959) pp. 276-281 (euclid:bams/1183523205)

• M. F. Atiyah, F. Hirzebruch, Vector bundles and homogeneous spaces, 1961, Proc. Sympos. Pure Math., Vol. III pp. 7–38 American Mathematical Society, Providence, R.I. (doi:10.1142/9789814401319_0008, web, MR 0139181)

On elliptic genera and the rigidity theorem for elliptic genera:

• Friedrich Hirzebruch, Elliptic Genera of Level $N$ for Complex Manifolds, In: Bleuler K., Werner M. (eds) Differential Geometrical Methods in Theoretical Physics NATO ASI Series (Series C: Mathematical and Physical Sciences), vol 250. Springer (1988) (doi:10.1007/978-94-015-7809-7_3)

On genera, elliptic genera and modular forms:

• Friedrich Hirzebruch, Thomas Berger, Rainer Jung, Manifolds and Modular Forms, Aspects of Mathematics 20, Viehweg (1992), Springer (1994) [doi:10.1007/978-3-663-10726-2, pdf]

category: people