/sci/ - Science & Math

>>9388103
If I recall correctly Kahler manifolds are symplectic manifolds with a Kahler potential 0-form [math]K[/math] such that locally [math]\omega = \frac{\partial^2 K}{\partial z\partial \overline{z}}dzd\overline{z}[/math]. You need to elaborate on what a "Kahler cone" is since as far as I know these cones of a 2-form [math]\omega[/math] are defined to be vector fields [math]\xi[/math] such that [math]\omega_\xi(\eta) = 0[/math] for all vector fields [math]\eta[/math].
>>9388424
It never hurts to ask, and it's always good to let your prof know where your interests lies. They don't want a student who's begrudgingly going through the motions on something they don't have interest in either.
>you say that cause you ended up not liking the subject?
I studied condensed matter theory focusing on topological defects, but it wasn't mathematical enough. I was mainly interested in the mathematics that came out of the physics instead of the physics itself, while theoretical physics is still very much tied to experimental results, meaning that what I say needs to be at least experimentally feasible and isn't just some interesting mathematical result. This fact pushed me over the edge while pursuing a PhD.
Again, this is just anecdotal and you should decide on what you want to do based on what your prof suggests, not what some random internet stranger says.

>>9027879
Dad was an insurance broker and mom was a trader for an international corporation.
>>9027888
I live two towns away from where I work/studied.

>>8953034
Depends on which area you want to look into. Do Landau-Lifshitz first before doing anything else.

>constructive quantum field theory: Baez
>geometric quantization: Woodhouse
>TQFT: Turaev
>quantum braid groups: Nayak
>quantum knots/loop algebras: Witten