The Riemann–Hilbert Correspondence for Flat Connections on Principal Bundles This thesis aims to prove the Riemann--Hilbert correspondence between representations of the fundamental group of a smooth manifold $M$ and flat connections on principal bundles over $M$. We begin by ...

Nou #TFG al #ddub: «The Riemann–Hilbert Correspondence for Flat Connections on Principal Bundles»

#GrupsDeLie
#ÀlgebresDeLie
#Curvatura

Lefschetz properties for monomial ideals This work is centred on studying a conjecture affirming the existence of monomial ideals satisfying the weak Lefschetz property for any number of generators. We prove the conjecture for three variable...

Nou #TFG al #DDUB:
«Lefschetz properties for monomial ideals»

hdl.handle.net/2445/227342

#Ideals
#ÀlgebraCommutativa
#ÀlgebraHomològica
#FuncionsCaracterístiques
#GrupsDeLie

Dipòsit Digital de la Universitat de Barcelona: Chern-Simons Theory This item is licensed under a Creative Commons License

Nou #TFG al #DDUB: « Chern-Simons Theory»

hdl.handle.net/2445/222437

#FeixosFibrats
#TopologiaDiferencial
#Invariants
#GrupsDeLie

Dipòsit Digital de la Universitat de Barcelona: SO(3) representations for a rationally-symmetric Schrödinger equation

Nou #TFG al #DDUB: «SO(3) representations for a rationally-symmetric Schrödinger equation»

hdl.handle.net/2445/220118

#EquacióDeSchrödinger
#GrupsDeLie
#TeoriaQuàntica
#Geometriadiferencial