Timeline for Mirror symmetry mod p?! ... Physics mod p?!
Current License: CC BY-SA 4.0
4 events
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| Oct 20, 2021 at 1:23 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
fixed arxiv front-end links and gave doi links
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| Feb 1, 2010 at 1:46 | comment | added | Matthew Ballard | All the manifolds are still regular symplectic manifolds. We just change the coefficient field used in Floer homology. All we change is the field that is the receptacle for the counts of the numbers of pseudo-holomorphic polygons. For the elliptic curve case, we compare the Fukaya category, with coefficients in a $p$-adic field, of a real 2-torus to the bounded derived category of coherent sheaves of some other elliptic curve defined over that same $p$-adic field. | |
| Feb 1, 2010 at 1:13 | comment | added | Kevin H. Lin | You seem to be suggesting that various notions from symplectic geometry, such as Fukaya categories, can be defined for ... $p$-adic manifolds? | |
| Jan 31, 2010 at 3:09 | history | answered | Matthew Ballard | CC BY-SA 2.5 |