Collected papers III. 1988–2012. Edited by Joachim Schwermer, Silke Wimmer-Zagier and Don Zagier. (Gesammelte Abhandlungen III. 1988–2012.) (English) Zbl 1442.01030

Cham: Springer (ISBN 978-3-030-02915-9/hbk). xv, 659 p. (2019).
The third volume of Friedrich Hirzebruch’s collected papers (for Volumes I and II see [Zbl 0627.01044; Reprint: Zbl 1281.01012]) contains manuscripts published between 1988 and 2012; of these the following have been reviewed: [Zbl 0667.32009; Zbl 0697.94010; Zbl 0679.14006; Zbl 0712.57010; Zbl 0743.00019; Zbl 0752.57013; Zbl 0767.57014; Zbl 1453.14001; Zbl 0966.01503; Zbl 1288.01019; Zbl 0994.01014; Zbl 0928.01012; Zbl 0938.57025; Zbl 0972.14014; Zbl 1061.58022; Zbl 1052.01012; Zbl 1187.14009; Zbl 1156.01340; Zbl 1244.01033; Zbl 1255.11004; Zbl 1171.57300; Zbl 1209.01018; Zbl 1195.01029].
In addition, this volume contains the opening address of the meeting of the DMV in 1990, an article Kombinatorik in der Geometrie on the occurrence of Euler polynomials in geometry, a review of P. Deligne and G. D. Mostow [Commensurabilities among lattices in \(\text{PU}(1,n)\). Princeton, NJ: Princeton University Press (1993; Zbl 0826.22011)], the handwritten abstract of a talk on Hilbert modular surfaces and the icosahedron in Kyoto 1996, a talk at the MFO on Chern characteristic classes in topology and algebraic geometry in 2009, memories of Henri Cartan 1904–2008 published in the Notices of the AMS in 2010, and Why do I like Chern, and why do I like Chern classes? from the same journal in 2011. The last part collects various addresses, beginning with Hirzebruch’s laudatio for Jacques Tits, a section with short comments on the papers in this volume, an article by Don Zagier on the Life and work of Friedrich Hirzebruch, an interview with Hirzebruch published in the newsletter of the EMS (1998), and a list of publications.


01A75 Collected or selected works; reprintings or translations of classics
14-XX Algebraic geometry
55-XX Algebraic topology
54-XX General topology
57-XX Manifolds and cell complexes
58-XX Global analysis, analysis on manifolds