Timeline for Teichmuller modular forms and number theory
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 17, 2011 at 17:53 | answer | added | marco | timeline score: 12 | |
| Feb 17, 2011 at 9:42 | answer | added | marco | timeline score: 1 | |
| Dec 12, 2010 at 18:08 | vote | accept | David Feldman | ||
| Dec 12, 2010 at 17:19 | comment | added | Victor Protsak | I've heard of them under the name "Mumford modular forms", and they admit a super-analogue. There is an important fact, playing a role in the early (pre-mirror symmetry) string theory and the cohomology of $M_g$ that $$\lambda_j\isom\lambda_1^{\otimes 6j^2-6j+1},$$ where $\lambda_j$ is the push-forward of the $j$th power of the holomorphic cotangent bundle on the universal curve over $M_g$ to $M_g.$ | |
| Dec 12, 2010 at 12:07 | comment | added | BS. | Looking in MR, it seems that only Takashi Ichikawa studied these, which he defines as global sections of powers of the Hodge line bundle on moduli spaces of curves. They are related to Siegel modular forms (vis the jacobian map), but are different. I don't know if these really are the objects in question... | |
| Dec 12, 2010 at 11:43 | answer | added | Dan Petersen | timeline score: 21 | |
| Dec 12, 2010 at 10:34 | comment | added | David Hansen | What is a Teichmuller modular form? Is this standard terminology? | |
| Dec 12, 2010 at 9:56 | history | asked | David Feldman | CC BY-SA 2.5 |