We compute the Minimal Entropy for every closed, orientable 3-manifold, showing that its cube equals the sum of the cubes of the minimal entropies of each hyperbolic component arising from the JSJ decomposition of each prime summand. As a consequence we show that the cube of the Minimal Entropy is additive with respect to both the prime and the JSJ decomposition. This answers a conjecture asked by Anderson and Paternain for irreducible manifolds
This Ph.D. Thesis is divided into two parts. In the first part we present the barycenter method, a t...
We evaluate the entanglement entropy of exactly solvable Hamiltonians corresponding to general famil...
In this thesis the author shows that a sutured manifold is taut if and only if certain relativ L^2-B...
In this note, we consider the minimal entropy problem, namely the question of whether there exists a...
We give a simple combinatoric proof of an exponential upper bound on the number of distinct 3-manifo...
Abstract. We study n-manifolds Y whose fundamental groups are subexponential extensions of the funda...
We show approximately that the number of components in the JSJ decomposition of a compact, orientabl...
AbstractWe determine the geometric structure of a minimal projective threefold having two ‘independe...
We study twisted Reidemeister torsion on graph manifolds and discuss how it can be used to recover t...
We record in this thesis three results concerning entropy and singularities in mean curvature ow (M...
In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of...
Una 3-varietà si dice virtualmente fibrata se ammette un rivestimento finito che è un fibrato con ba...
We study Riemannian metrics on compact, torsionless, non-geometric $3$-manifolds, i.e. whose interi...
We prove the existence of manifolds with almost maximal volume entropy which are not hyperbolic
We study Riemannian metrics on compact, torsionless, non-geometric $3$-manifolds, i.e. whose interio...
This Ph.D. Thesis is divided into two parts. In the first part we present the barycenter method, a t...
We evaluate the entanglement entropy of exactly solvable Hamiltonians corresponding to general famil...
In this thesis the author shows that a sutured manifold is taut if and only if certain relativ L^2-B...
In this note, we consider the minimal entropy problem, namely the question of whether there exists a...
We give a simple combinatoric proof of an exponential upper bound on the number of distinct 3-manifo...
Abstract. We study n-manifolds Y whose fundamental groups are subexponential extensions of the funda...
We show approximately that the number of components in the JSJ decomposition of a compact, orientabl...
AbstractWe determine the geometric structure of a minimal projective threefold having two ‘independe...
We study twisted Reidemeister torsion on graph manifolds and discuss how it can be used to recover t...
We record in this thesis three results concerning entropy and singularities in mean curvature ow (M...
In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of...
Una 3-varietà si dice virtualmente fibrata se ammette un rivestimento finito che è un fibrato con ba...
We study Riemannian metrics on compact, torsionless, non-geometric $3$-manifolds, i.e. whose interi...
We prove the existence of manifolds with almost maximal volume entropy which are not hyperbolic
We study Riemannian metrics on compact, torsionless, non-geometric $3$-manifolds, i.e. whose interio...
This Ph.D. Thesis is divided into two parts. In the first part we present the barycenter method, a t...
We evaluate the entanglement entropy of exactly solvable Hamiltonians corresponding to general famil...
In this thesis the author shows that a sutured manifold is taut if and only if certain relativ L^2-B...