Essays on Topology : Dedicated to Valentin Poénaru / edited by Louis Funar, Athanase Papadopoulos.

Format:

Book

Author/Creator:

Funar, Louis.

Contributor:

Papadopoulos, Athanase.

Series:

Mathematics and Statistics Series

Language:

English

Subjects (All):

Topology.

Geometry.

Geometry, Differential.

Geometry, Hyperbolic.

Differential Geometry.

Hyperbolic Geometry.

Local Subjects:

Topology.

Geometry.

Differential Geometry.

Hyperbolic Geometry.

Physical Description:

1 online resource (1275 pages)

Edition:

1st ed. 2025.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2025.

Summary:

This book consists of a collection of articles dedicated to Valentin Poénaru, on topology and geometry in a broad sense. Poénaru is one of the leading mathematicians whose work had an essential impact on the development of topology in France over the last forty years of the twentieth century. The special topics addressed in this volume include hyperbolic geometry, 3-manifolds, complex and symplectic geometry, differential topology, combinatorial group theory, piecewise-linear topology, algebraic geometry, knots and links, homotopy theory, braid groups, phylogenetics, the history of geometry, and the philosophy of mathematics. This collection of articles, written by well-known researchers, provides a lively insight into a number of current research topics in geometry and topology. .

Contents:

1 Introduction, by Louis Funar and Athanase Papadopoulos

2 Primes, Knots and Po, by Barry Mazur

3 A short history of open manifolds related to complex analytic coordinates, by Dennis Sullivan

4 Universal Spin Teichmüller Theory, I: The action of P(SL(2,Z)) on T ess+, by Robert C. Penner

5 Universal Spin Teichmüller Theory, II: Finite presentation of P(SL(2,Z)), by Robert C. Penner

6 Geometry of Fermat’s sum of squares, by Greg McShane and Vlad Sergiescu

7 Ends and compactifications in geometric topology, by Ken’ichi Ohshika

8 Axiomatic phylogenetics, by Vladimir Turaev

9 About the diffeomorphisms of the 3-sphere and a famous theorem of Cerf (Γ4 = 0), by François Laudenbach

10 Holomorphic tensors on Vaisman manifolds, by Liviu Ornea and Misha Verbitsky

11 On the topology of monotone Lagrangians of high dimension, by Mihai Damian

12 Kervaire Problems in Stable Homotopy Theory, by Petr M. Akhmet’ev

13 Lifting generic maps to embeddings, The double point obstruction, by Sergey A. Melikhov

14 “Barcodes” for continuous maps and a brief introduction to Alternative Morse Theory, by Dan Burghelea

15 A note on the quasi simple filtration of finite groups, by Francesco Russo

16 Lifting maps between graphs to embeddings, by Alexey Gorelov

17 A note on the discriminant loci of a hypersurface of bi-degree (m, n), by Susumu Tanabé

18 Welded graphs, Wirtinger groups and punctured spheres, by Benjamin Audoux, Jean-Baptiste Meilhan and Akira Yasuhara

19 On geometric representation of L-homology classes, by Friedrich Hegenbarth and Dušan D. Repovš

20 On elementary invariants of genus one knots and Seifert surfaces, by Christine Lescop

21 On a family of hyperbolic Brunnian links and their volumes, by Dušan D. Repovš and Andrei Yu. Vesnin

22 SL(2, Z), les tresses à trois brins, le tore modulaire et Aut+(F2), (d’après Emil Artin et Jacob Nielsen), by Alexis Marin

23 “All the resources of pure mathematics”: Mathematical physics and mathematics as physics, by Arkady Plotnitsky

24 The case for absolute geometry, by Victor Pambuccian

25 The Reconstruction of Theaetetus’ Theory of Ratios of Magnitudes, by Stelios Negrepontis and Dimitrios Protopapas

26 Notice de travaux, by Valentin Poénaru

27 Mathematical Adventures: A letter to Barry Mazur, by Valentin Poénaru

28 Adventures in physics, by Valentin Poénaru

29 Dimitru Poénaru, my father, by Valentin Poénaru

30 Father Andrei, by Valentin Poénaru

31 The magic summer of 1964, by Valentin Poénaru

32 Po, a mathematician between humanism and science, Corrado Tanasi and Franco Marchese.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-031-81414-2

OCLC:

1528958347