MATH:7400:0001 Topology of Manifolds

Fall 2020 10:30A - 11:20A MWF World Wide Web

Instructor:  Dr. Isabel K. Darcy
Department of Mathematics and AMCS
University of Iowa
Office: online
Phone: 319-335- 0770
Email: isabel-darcy AT uiowa.edu

Office Hours: M 4:30 - 5:30pm and M 2:00 - 2:30pm, W 3:30-3:45pm, F 3:30-4:45pm online and by appointment.

Syllabus

TENTATIVE CLASS SCHEDULE-ALL DATES SUBJECT TO CHANGE (click on date/section for pdf file of corresponding class material):

Tentative ScheduleHW/Announcements
Week 1
8/24 Intro + Guest Lecturer Rob Scharein: Knotplot HW: post a question on our Icon discussion page.
8/26 Lens spaces
8/28 Double branched cover
Week 2
8/31 DNA Topology ( pptx ), annotated ( pptx ) HW: post a question on our Icon discussion page.
HW 1 due Friday 9/4
9/2 DNA Topology annotated ( pptx )
9/4 Tangle Model of protein-bound DNA annotated ( pptx )
Week 3
9/7 Holiday HW: post a question on our Icon discussion page.
9/9 Tangle equations annotated ( pptx )
9/11 Solving tangle equations annotated ( pptx )
Week 4
9/14 Sketches of Topology HW: post a question on our Icon discussion page.
9/16 Guest Lecturer Rob Scharein: Knotplot
9/18 Tangle equivalence annotated ( pptx )
Week 5
9/21 Exam 1 HW: post a question on our Icon discussion page.
9/23 DBC/surgery ( pptx ) annotated ( pptx )
9/25 DBC/surgery ( pptx ) annotated ( pptx )
Week 6
9/28 DBC/surgery ( pptx ) annotated ( pptx ) HW: post a question on our Icon discussion page.
HW 2: Discuss any of the following on ICON discussion
1.) Determine the possible rational tangles in the yellow ball after tangle surgery that corresponds to pL + qM Dehn surgery upstairs (see p 13 on 9/28 annotated slides).

2.) Relate tangle equations
N(U + infty) = K1, N(U + 1/2) = K2
N( (U - n) + (n+ infty) ) = K1, N((U -n) + (n+ 1/2) = K2
(per 9/30 slide 16).

3.) Calculate pi_1(L(a, b)).

9/30 DBC/surgery ( pptx ) annotated ( pptx )
10/2 DBC/surgery ( pptx ) annotated ( pptx )
Week 7
10/5 DBC/surgery ( pptx ) annotated ( pptx ) HW: post a question on our Icon discussion page.
10/7 rational tangles/surgery annotated ( pptx )
10/9 rational tangles/surgery ( pptx ) annotated ( pptx )
Week 8
10/12 SFS HW: post a question on our Icon discussion page.
10/14 SFS annotated ( pptx )
10/16 SFS ( pptx ) annotated ( pptx )
Week 9
10/19 SFS ( pptx ) annotated ( pptx ) HW: post a question on our Icon discussion page.
10/21 SFS ( pptx ) annotated ( pptx )
10/23 SFS ( pptx ) annotated ( pptx )
Week 10
10/26 Exam 2 HW: post a question on our Icon discussion page.
10/28 Puttipong Pongtanapaisan
10/30 Jose Aranda Cuevas
Week 11
11/2 SFS, annotated HW: post a question on our Icon discussion page.
11/4 Nick Connolly
11/6 SFS, annotated
Week 12
11/9 Solving tangle equations, annotated HW: post a question on our Icon discussion page.
11/11 Ethan Rooke
11/13 3-string tangle equations, annotated
Week 13
11/16 Andy Nguyen HW: post a question on our Icon discussion page.
11/18 3-string tangle equations II, annotated
11/20 Mohamed Imad Bakhira
*****Thanksgiving Break (Nov 22-29)****
Week 14
11/30 Intro to Hyperbolic geometry HW: post a question on our Icon discussion page.
12/2
12/4 Exam 3
Week 15
12/7 HW: post a question on our Icon discussion page.
12/9
12/11 Annette Honken, EMC Insurance
Final's week
NO Final exam