Jan 31. Genus. Number of boundary components. Orientability.
Week II CURVES
Feb 5. Deformation classes of curves. The "shortest" curve in the
deformation class.
Feb 7. Words and curves. Counting the intersection points of
two curves.
Week III WORDS, SUBWORDS AND INTERSECTIONS
Feb 12. The program computing intersection.
Feb 14. The Goldman bracket.
Assignments: Short assignments will be given at the end of every class.
These are designed to help you consolidate the class material.
References:
Surface Topology, P.A. Firby and C.F. Gardiner.
Knots and Surfaces, D. Farmer and T. Stanford.
The Shape of Space, J.R. Weeks.
Flatland, E.A. Abbott.
Students with disabilities:
If you have a physical, psychological, medical, or learning disability that
may impact on your ability to carry out assigned course work, you are
strongly urged to contact the staff in the Disabled Student Services (DSS)
office: Room 133 in the Humanities Building; 632-6748v/TDD. The DSS office
will review your concerns and determine, with you, what accommodations are
necessary and appropriate. All information and documentation of disability
is confidential. Arrangements should be made early in the semester (before
the first exam) so that your needs can be accommodated.