110 reputation
17
bio website math.sunysb.edu/~azinger
location
age
visits member for 3 years, 5 months
seen 2 days ago

Nov
19
awarded  Commentator
Nov
19
comment Reference request for cohomology of coverings
@BenWieland. It sounds like there is no reasonable statement along the lines of the original question then. This is very enlightening. Many thanks, Ben, as well as Matthias and Dan.
Nov
18
comment Reference request for cohomology of coverings
This answer was meant to give an alternative description of Matthias's answer for cyclic coverings. As Ben points out, this does not suffice for the inductive step and there is no hope of extending this construction even to ${\mathbb{Z}}^2$-coverings without additional assumptions.
Nov
18
comment Reference request for cohomology of coverings
Is there a statement in the spirit of the original one which is true? It is true if the rank of $G$ is at most one. Is it true if the abelianization of the commutator subgroup of $\pi_1(B)$ is finite? or perhaps even the commutator subgroup itself is finite?
Nov
18
comment Reference request for cohomology of coverings
Thank you, Ben. I think I see where my thinking with the induction went wrong. $H^*(\hat{B})^{\mathbb Z}$ comes from $H^*(\hat{B}/{\mathbb Z})$, but only $H^*(\hat{B}/{\mathbb Z})^{\mathbb Z}$ comes from $H^*(\hat{B}/{\mathbb Z}^2)$. More relevantly, one needs to show that $H^*(\hat{B})^{\mathbb{Z}^2}$ comes from $H^*(\hat{B}/{\mathbb{Z}})^{\mathbb{Z}}$, and there was nothing in the inductive step about some auxiliary group.
Nov
16
answered Reference request for cohomology of coverings
May
31
awarded  Critic
Apr
14
comment On the proof of Robert Lipshitz's formula on Maslov index.
Why not just e-mail, Robert?
Mar
31
answered Difference between parallel transport and derivative of the exponential map
Feb
19
awarded  Enthusiast
Jan
29
answered Analytic curve on Riemann surface
Jan
28
revised Tubular neighborhoods of chains
added 36 characters in body
Jan
28
revised Tubular neighborhoods of chains
added 156 characters in body; deleted 103 characters in body
Jan
28
answered Tubular neighborhoods of chains
Jan
24
awarded  Scholar
Jan
24
awarded  Supporter
Jan
24
awarded  Student
Jan
21
awarded  Editor
Jan
21
revised Orientations for pseudoholomorphic curves with totally real boundary condition
added 773 characters in body
Jan
21
answered Orientations for pseudoholomorphic curves with totally real boundary condition