Lectures:  Mondays and Wednesdays from 2 to 3:15 pm 
Classroom:  Lecture Hall 2 
Instructor:  Priyavrat Deshpande. 
Contact:  Office: 403 

phone: 962  
email: pdeshpande AT cmi DOT ac DOT in  
Office
Hours: 
Wednesdays from 11:30
to 12:30 
Teaching Assistant:  Ronno Das 
Texts: 
Useful reading material:

Prerequisites:  Knowledge of (co)homology theory (graduate course in algebraic topology) and/or permission from the faculty advisor. 
Grading: 

Web:  http://www.cmi.ac.in/~pdeshpande/ttop15.html 
No.  File  Assign date  Due date 
1 
homework 1 
05/01/2015 
19/01/2015 
2 
homework 2 
12/01/2015 
28/01/2015 
3 
homework 3 
19/01/2015 
02/02/2015 
4 
homework 4 
02/02/2015 
11/02/2015 
5 
homework 5 
09/02/2015 
18/02/2015 
6 
homework 6 
16/02/2015 
02/03/2015 
7 
homework 7 
25/03/2015 
08/04/2015 
8 
homework 8 
25/03/2015 
15/04/2015 
Name 
Topic 
Akashdeep 
The Gysin sequence and the Thom isomorphism 
Amit 
Hopf bundle and Hopf invariant 
Anwesh 
Homology of free abelian covers 
Chan 
DehnSommerville relations for triangulated
manifolds 
Debaditya 
Alexander duality 
Diptaishik 
The K(G, 1) spaces and homology of groups 
Gobinda 
Universal coefficients theorem for homology 
Jayan 
Cohomology of sheaves 
Prakash 
Cohomology of lens spaces 
Shreejit 
The BorsukUlam theorem 
Sourav 
Intersection form for simply connected,
closed 4manifolds 
Sujoy 
Hspaces and Hopf algebras 