Homotopy 2-types of complements of knotted surfaces in $S4$
Abstract- We describe an algorithm to determine the fundamental crossed module of a handle decomposi
Geometry and Topology
On the rational homotopy type of homotopy boundaries
A homotopy boundary of a finite CW-complex X is the boundary of a
thickening of X, that is of a comp
Coupled equations for Kahler metrics and Yang-Mills connections
I will study natural equations coupling Kahler metrics on a complex manifold and connections on a ve
Geodesics on 2-dimensional surface with Pseudo-Riemann metric: signature changing
Consider a smooth 2-dimensional surface $S$ with coordinates $(t,x)$ and pseudo-Riemann metric, i.e.
Optimization under constraints of production carrying capacity at scale of a aquaculture farm
A model of relationship between the production and ecological carrying capacity of shellfish culture
Equivariant volumes of non-compact quotients and instanton counting
Nekrasov has shown how the low-energy behaviour of certain super-symmetric quantum field theories ca
On smoothly integrable implicit Hamiltonian systems
We study the generalized Hamiltonian dynamics of an implicit Hamiltonian system considered as a Lagr
Representations of Surface Groups into Lie Groups: Algebra, Geometry and Quantization
We consider representations of the fundamental group of an orientable surface into a real or complex
Moduli of sheaves from moduli of Kronecker modules
I will explain how to view the construction of moduli spaces of
semistable sheaves on a projective v
Estruturas de Poisson Transversas a Duais de Álgebras de Lie
Um parêntesis de Poisson numa variedade diferenciável M e um parêntesis de Lie no espaço das fun