Timeline for Torsion in cuspidal cohomology
Current License: CC BY-SA 3.0
8 events
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Jun 7, 2012 at 17:27 | comment | added | Autumn Kent | @Misha: Yeah, my interpretation of equality as meaning that T survives is psychological, I guess. One more edit to further clarify. | |
Jun 7, 2012 at 17:26 | history | edited | Autumn Kent | CC BY-SA 3.0 |
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Jun 7, 2012 at 17:15 | comment | added | Misha | @Richard, I understand what you are saying now. However, it seems to me that in the context of the question, equality would not make much sense since $H_{cusp}$ is the quotient of $H_1$, not a subgroup. I think the equality sign in question is just the (common) abuse of notation. Nevertheless, you have a very nice example which shows that torsion part of $H_1$ could lie in the image of $i_*$. It also suggests that one should check what happens in the case of other Seifert manifolds. | |
Jun 7, 2012 at 16:54 | comment | added | Autumn Kent | Edited to clarify. | |
Jun 7, 2012 at 16:53 | history | edited | Autumn Kent | CC BY-SA 3.0 |
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Jun 7, 2012 at 16:41 | comment | added | Autumn Kent | @Misha: The answer is an attempt to emphasize the difference between isomorphism and equality. As the question asks for equality, I think this is relevant. | |
Jun 7, 2012 at 16:30 | comment | added | Misha | @Richard, it seems you are saying A and not A in your answer. | |
Jun 7, 2012 at 15:53 | history | answered | Autumn Kent | CC BY-SA 3.0 |