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Jul 6, 2010 at 8:47 comment added Barbara Maybe my answer to your question on functoriality of virtual fundamental classes might provide an example. Usually anything that can be proven using algebraic techniques can also be proven by symplectic techniques, and conversely. In my opinion it's not a bug, but a feature, which allows everyone to choose the language they're more comfortable with.
Jul 6, 2010 at 3:42 comment added HYYY Hi,but is there any example that we use algebraic GW theory to solve something in symplectic category? For example,how can we use virtual localization technique to solve something in symplectic geometry that we generally can't solve using symplectic geometry techniques?
Jul 5, 2010 at 8:09 history answered Barbara CC BY-SA 2.5