u/Cris_brtl

Hi, I'm a maths undergrad but with a focus on mathematical-physics and I took many physics classes

I was thinking of doing my thesis on 4-manifolds from a geometric point of view, and I also wanted to talk about applications in physics. The main idea was exotic structures in dimension 4 and how it affects general relativity, but this is a speculative result let's say. I was looking for bridges between 4-manifolds and physics that could be nice to talk about, especially in the field of matter physics/condensed matter/materials/quantum computing, do you guys have any idea?

Ciao, c'è qualcuno che la frequenta/ha frequentato e saprebbe dirmi come si trova? Secondo voi è un investimento sul futuro o rischi di diventare troppo specializzato e non trovare lavoro?

Hi everyone, I wanted to study exotic structures in dimension 4 and they possible applications to physics. I'm a maths undergrad, so I already have some knowledge on topology, analysis and differential geometry, but of course it's not enough.

I've been trying to actually study some material in order to understand something about those structures, my plan (following some ideas found on The Wild World of 4-Manifolds) was to understand the h-cobordism theorem and see it fails in dimension 4. Then there should be a variant of this theorem for general manifolds in dimension 4, and this brings to the creation of exotic structures. For now I've been reading something about Morse theory and the cobordism theorem, and at the same time something about Gauge Theory, but I don't know if this is a good plan of action, what do you guys recommend?

Hi everyone, I wanted to study exotic structures in dimension 4 and they possible applications to physics. I'm a maths undergrad, so I already have some knowledge on topology, analysis and differential geometry, but of course it's not enough.

I've been trying to actually study some material in order to understand something about those structures, my plan (following some ideas found on The Wild World of 4-Manifolds) was to understand the h-cobordism theorem and see it fails in dimension 4. Then there should be a variant of this theorem for general manifolds in dimension 4, and this brings to the creation of exotic structures. For now I've been reading something about Morse theory and the cobordism theorem, and at the same time something about Gauge Theory, but I don't know if this is a good plan of action, what do you guys recommend?

For a thesis, if there exists any