Maps of m-pires on the projective plane

Counting 2-Connected 4-Regular Maps on the Projective Plane

In this paper the number of rooted (near-) 4-regular maps on the projective plane are investigated with respect to the root-valency, the number of edges, the number of inner faces, the number of nonroot-vertex-loops, the number of nonroot-vertexblocks. As special cases, formulae for several types of rooted 4-regular maps such as 2-connected 4-regular projective planar maps, rooted 2-connected (...

Percolation on the Projective Plane

Since the projective plane is closed, the natural homological observable of a percolation process is the presence of the essential cycle in H1(RP 2; Z2). In the Voroni model at critical phase, pc = .5, this observable has probability q = .5 independent of the metric on RP 2. This establishes a single instance (RP 2, homological observable) of a very general conjecture about the conformal invari...

Conics on the Projective Plane

In this paper, we discuss a special property of conics on the projective plane and answer questions in enumerative algebraic geometry such as ”How many points determine a conic?” and ”How many conics do we expect to pass through m points and tangent to n lines?”

On Co-h-maps to the Suspension of the Projective Plane

We study co-H-maps from a suspension to the suspension of the projective plane and provide examples of non-suspension 3-cell co-H-spaces.

Dynamics on blowups of the projective plane