2 Vicente Muñoz

The SL(2,C)-Character Varieties of Torus Knots

Let G be the fundamental group of the complement of the torus knot of type (m,n). This has a presentation G = 〈x, y |xm = yn〉. We find the geometric description of the character variety X(G) of characters of representations of G into SL(2,C).

Building Tools for Model Driven Development. Comparing Microsoft DSL Tools and Eclipse Modeling Plug-ins

X iv : d g - ga / 9 70 20 04 v 1 7 F eb 1 99 7 DONALDSON INVARIANTS FOR CONNECTED SUMS ALONG SURFACES OF GENUS 2

We prove a gluing formula for the Donaldson invariants of the connected sum of two four-manifolds along a surface of genus 2. We also prove a finite type condition for manifolds containing a surface of genus 2, self-intersection zero and representing an odd homology class.

The Most Inaccessible Point of a Convex Domain

The inaccessibility of a point p in a bounded domain D ⊂ R is the minimum of the lengths of segments through p with boundary at ∂D. The points of maximum inaccessibility ID are those where the inaccessibility achieves its maximum. We prove that for strictly convex domains, ID is either a point or a segment, and that for a planar polygon ID is in general a point. We study the case of a triangle,...

Erratum: Rodríguez-Navarro, D., et al. Mathematical Model and Calibration Procedure of a PSD Sensor Used in Local Positioning Systems. Sensors 2016, 16, 1484

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