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Open Math Notes

Resources and inspiration for math instruction and learning

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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto


Peter Scott
University of Michigan, Ann Arbor
Reference #


Posted date
2017-03-11 15:55:08
Revised date
2017-04-11 13:17:11
Notes type
   Standard Course Offering
   Topics Course
      Geometric Topology and Knot Theory

An Introduction to 3-manifolds

An introduction to the classical theory of 3-manifolds up to the JSJ decomposition (mid-1970's). The theory of PL least area surfaces (from the 1980's) is used to modernise many of the classical arguments.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (1.8M) 03/11/17
Supplementary v1 PDF (348K) 03/11/17