$mathrm{K3}$: a New Problem List in Low-Dimensional Topology (Mathematical Surveys and Monographs) - Softcover

Softcover

ISBN 10: 1470484331 ISBN 13: 9781470484330

Verlag: American Mathematical Society, 2026

Inhaltsangabe

This book is a compendium of problems in low-dimensional topology, each presented with background and references. It is aimed at graduate students and more experienced researchers alike, highlighting the problem-driven nature of the field. The problems are intended to stimulate research and point to new directions in an area that has been extremely active and has broadened tremendously over the past 50 years. The problem list is the outcome of a collaborative, community-driven effort led by R. Inanc Baykur, R. C. Kirby, and D. Ruberman. It began at a week-long workshop at the American Institute of Mathematics in fall 2023 and grew substantially through the involvement of chapter editors, workshop participants, problem proposers, scribes, and referee-altogether drawing contributions from several hundred researchers, from early career mathematicians to senior figures in the field. As in the influential problem lists compiled by R. Kirby in the 1970s and 1990s, the book is organized roughly by dimension: knot theory, surfaces, $3$-manifolds, $4$-manifolds, and a brief miscellanea chapter. It features close to 400 problems across a wide range of topics, with nearly a thousand subproblems, questions, and conjectures interspersed throughout.

Über diesen Titel

Über die Autorin bzw. den Autor

R. Inanc Baykur, University of Massachusetts, Amherst, MA.

Robion C. Kirby, University of California, Berkeley, CA.

Daniel Ruberman, Brandeis University, Waltham, MA.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2026
• Sprache: Englisch
• ISBN 10: 1470484331
• ISBN 13: 9781470484330
• Einband: Taschenbuch
• Anzahl der Seiten: 430
• Herausgeber: Baykur R. Inanc
• Kontakt zum Hersteller: Mare Nostrum Group B.V.; gpsr@mare-nostrum.co.uk; ; Doelen 72; Breda; 4831 GR; Niederlande