Timeline for Mirzakhani's work and surfaces with marked points on the boundary
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Aug 17, 2021 at 9:42 | comment | added | giulio bullsaver | I am interested in anything is already known regarding Mirzakani-like identities for surfaces with marked points on the boundaries and integration over their moduli space. For instance, something that I would be interested in, is if there are identities involving the sum over non-closed geodesics over such surfaces and/or if this allows the reduction of the integral over moduli space of surfaces obtained pinching such geodesics. I am asking vague questions because I am interested in anything which has to do with bordered surfaces | |
| Aug 17, 2021 at 8:51 | comment | added | Timothy Budd | I think you should still be more precise. What kind of effect of marked points on boundaries are you looking for? Are you interested in Weil-Petersson volumes of marked Riemann surfaces? Integration over the positions of marked points (with respect to the natural measure on a boundary induced by the hyperbolic metric) is straightforward. | |
| Aug 17, 2021 at 8:31 | comment | added | giulio bullsaver | Added a reference | |
| Aug 17, 2021 at 8:30 | history | edited | giulio bullsaver | CC BY-SA 4.0 |
added reference
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| Aug 16, 2021 at 16:58 | comment | added | Hollis Williams | Can you provide more specific details for people who don't know about this? What identities, links to the papers where this is done? | |
| Aug 16, 2021 at 12:27 | history | edited | YCor |
edited tags
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| Aug 16, 2021 at 12:23 | comment | added | giulio bullsaver | thanks, I've fixed it | |
| Aug 16, 2021 at 12:22 | history | edited | giulio bullsaver | CC BY-SA 4.0 |
fixed typo
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| Aug 16, 2021 at 12:22 | comment | added | abx | Mirzakhani, not Mirzakani. | |
| Aug 16, 2021 at 12:04 | history | asked | giulio bullsaver | CC BY-SA 4.0 |