Timeline for what is the stringy Kähler moduli space?
Current License: CC BY-SA 4.0
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S Jul 22, 2019 at 23:46 | history | suggested | Glorfindel | CC BY-SA 4.0 |
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Jul 22, 2019 at 20:02 | review | Suggested edits | |||
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Dec 8, 2017 at 18:23 | comment | added | user21574 | By Yau et al prespective If the pullback of the Weil–Petersson metric on the stringy Kahler moduli space be non-degenerate (in fact, pull-back of Kahler metric is not Kahler metric). This means that the mirror identification $ M_{Kah}(X) \cong M_{cpx}(\hat X ) $respects the Weil–Petersson metric $ \omega_{WP}$ arxiv.org/pdf/1708.02161.pdf | |
Dec 8, 2017 at 18:16 | comment | added | user21574 | This embedding can be thought of as the mirror of the period map of $\hat X$. Note that Bridgeland stability plays a crucial rule in quantum deformation geometry. If the Bridgeland stability condition exists, Yau et al. showed that the Weil–Petersson metric is a quantum deformation of the Poincare metric near the large volume limit. | |
Dec 8, 2017 at 18:04 | comment | added | user21574 | We want by using mirror symmetry the complexified Kahler cone give a local chart of the stringy Kahler moduli space near a large volume limit by Weil-Petersson geometric aspect. Note that there is yet no mathematical definition of stringy Kahler moduli space in general.Bridgeland introduced a stability conditions on a triangulated category with the hope of defining the stringy Kahler moduli space.He conjectured that the stringy Kahler moduli space $\mathcal M_{Kah}(X)$ of $X$ admits an embedding into the double quotient $Aut(D^bCoh(X))\backslash \text{Stab}(D^b Coh(X) )/\mathbb C$ | |
Jul 23, 2017 at 15:06 | comment | added | user21574 | Note that you can find this answer in the paper of Tian | |
May 27, 2017 at 3:40 | history | edited | user21574 | CC BY-SA 3.0 |
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May 26, 2017 at 16:22 | history | edited | user21574 | CC BY-SA 3.0 |
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May 26, 2017 at 5:56 | history | edited | user21574 | CC BY-SA 3.0 |
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May 26, 2017 at 5:46 | history | answered | user21574 | CC BY-SA 3.0 |