bio  website  math.binghamton.edu/somnath 

location  Binghamton  
age  32  
visits  member for  5 years 
seen  12 hours ago  
stats  profile views  2,683 
Passionate about mathematics.
1d

awarded  Yearling 
Oct 30 
awarded  Pundit 
Jul 2 
awarded  Curious 
Nov 22 
answered  Is there a good way to understand the free loop space of a sphere? 
Nov 21 
awarded  Yearling 
Oct 10 
revised 
Are Sasakian metrics (associated to bumpy metrics) bumpy?
added 1 characters in body 
Oct 10 
asked  Are Sasakian metrics (associated to bumpy metrics) bumpy? 
Sep 6 
revised 
Cobordism and finite sheeted covers of manifolds
question made more specific 
Sep 5 
comment 
Cobordism and finite sheeted covers of manifolds
The fact that characteristic numbers (Pontrjagin and StiefelWhitney numbers) determine cobordism classes completely is true for compact, oriented manifolds. What is a reference for this being true for manifolds which are not necessarily compact? 
Sep 5 
comment 
Cobordism and finite sheeted covers of manifolds
@ Sam  Thanks! I made the necessary changes. 
Sep 5 
revised 
Cobordism and finite sheeted covers of manifolds
added 21 characters in body 
Sep 5 
asked  Cobordism and finite sheeted covers of manifolds 
Aug 30 
comment 
loop space homology and lens spaces
Do you mean for each component of the free loop space? The free loop space $LM$ has $p$ components for the lens space $M=L(p,q)$. 
Jun 25 
awarded  Promoter 
May 13 
awarded  Good Question 
Feb 19 
comment 
Homology of classifying space of spin group BSpin(n)
@XiaoGang : Write the spectral sequence (in homology) for the fibration $G\to EG\to BG$. It will follow from the $E^5$ and $E^6$ page that $H_5(BSpin(n);\mathbb{Z})=H_4(Spin(n);\mathbb{Z})$ and $H_6(BSpin(n);\mathbb{Z})=H_5(Spin(n);\mathbb{Z})$. It follows from MilnorMoore (with your input on the homotopy groups of $Spin(n)$) that these are torsion groups. Now you just have to compute these! 
Feb 19 
comment 
Homology of classifying space of spin group BSpin(n)
@XiaoGang : Write the spectral sequence (in homology) for the fibration $G\to EG\to BG$. It will follow from the $E^5$ and $E^$ page that $H_5(BSpin(n);\mathbb{Z})=H_4(Spin(n);\Z)$ and $H_6(BSpin(n);\mathbb{Z})=H_5(Spin(n);\Z)$. It follows from MilnorMoore (with your input on the homotopy groups of $Spin(n)$) that these are torsion groups. Now you just have to compute these! 
Dec 1 
awarded  Popular Question 
Nov 30 
answered  Homology of classifying space of spin group BSpin(n) 
Nov 21 
awarded  Yearling 