Up: Research Seminars for 1996
Top: Math Department Research Seminars

Vertex Minimal Immersions of Simplicial Surfaces into 3-Space

by

Davide P. Cervone

October 28, 1996
3:30 pm
Bailey Hall 201

Refreshments in the common room at 3:15


Abstract:

This talk will descibe some results from my Ph.D. thesis which centered around determining immersions of surfaces that have the fewest possible number of vertices. We will concentrate on the Klein bottle, which can be triangluated using only 8 vertices, but cannot be immersed in 3-space with fewer than 9 vertices. We will begin by showing that there are 9-vertex immersions of the Klein bottle in each of its immersion homotopy classes. To prove that no 8-vertex immersion exists, we will first determine all possible 8-vertex immersions, then will use topological and geometric arguments to show that none can be immersed in space. Physical models of the immersions will be presented to make the talk more concrete.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
Up: Research Seminars for 1996
Top: Math Department Research Seminars

[HOME]
Union College Math Department Home Page
Comments to: math@union.edu
Created automatically on: Fri Jan 19 14:16:36 EST 2018