SUNY Geneseo » Math Department » Aaron Heap » MATH 380

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MATH 380: Low-Dimensional Topology

Spring 2018

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Instructor Information Professor Aaron Heap Office: South Hall 330C Phone: 245-5391 Email: heapmath Office Hours: Wed and Thurs 2:30-4:00 or by appointment, or any time my door is open Course Lecture Information Time: TR 10:00-11:15 Location: South 336 Attendance is essential to successful performance in this course. Please attend ALL lectures.

Course Information Course Description Homework Assignments

*** Important Announcements *** Important announcements will occasionally be listed here. Check this website periodically. Welcome to Low-Dimensional Topology! The exam dates listed are approximations only. We will set the official exam dates a week or so in advance. This is just to give you an idea of when to expect an exam. *** Exam 1: Sometime this semester *** *** Exam 2: After Exam 1 *** *** Final Exam *** Monday, May 7, 12:00-2:30 pm

Some Useful Links (and Knots): Technology: Instructions for getting LaTeX (See the links at the bottom of the page.) Basic LaTeX coding help Topology and Geometry Games and Software Seifert Surfaces - Download SeifertView 3-Dimensional Plotter (Use Internet Explorer) Topology: Topology Now! Topology on Wikipedia Low-dimensional Topology on Wikipedia Knot Theory on Wikipedia What is Topology? Klein Bottle on Wikipedia! Projective Plane on Wikipedia! News Articles: Physicists Discover Existence Of Fourth Dimension Scientists Discover 11 Dimensional Structures The Nobel Prize for Physics goes to topology Physicists Have Managed to Tie a Quantum Knot Relevant Videos: Not Knot Video of a Sphere Video of a Torus Video of a Klein Bottle Another Video of a Klein Bottle Yet Another Video of a Klein Bottle Surprise! Another Video of a Klein Bottle Projective Plane as a cross-cap Video of a Projective Plane Another Video of a Projective Plane Topological Dunce Hat or Jesters Hat Video of an Alexander Horned Sphere Deformation Retract of Punctured Torus Fundamental Group of a Torus Covering Spaces of a Circle Stereographic Projection Video Can you turn a sphere inside out? Irrelevant Videos: Flatland: The Movie The Map of Mathematics PBS Infinite Series 'Secret Universe' of Patterns, Beauty, Interconnectedness Finite Simple Group (of Order two) song (a capella) Jack Black's Math Song Topological Invariant for Monkeys? A Beginner's Guide to the Fourth Dimension Imagining the Fourth Dimension Imagining the Tenth Dimension Let me know if you find any other interesting links!