On the F-fundamental group scheme

On the Local Unipotent Fundamental Group Scheme

We prove a local, unipotent, analog of Kedlaya’s theorem for the pro-p part of the fundamental group of integral affine schemes in characteristic p.

2 5 M ay 2 00 6 Some Remarks on the Local Fundamental Group Scheme

2 6 M ay 2 00 6 Some Remarks on the Local Fundamental Group Scheme

Some remarks on fundamental physical F-theory

The purpose of this paper is to investigate the possibility of a physical 12-dimensional F-theory. We study the question of geometric interaction terms in the F-theory Lagrangians. We also introduce a new supergravity multiplet in dimension (9, 3) which is based on a particle with 3-dimensional timelike worldvolume. A construction of signature (9, 3) F-theory is given using dualities analogous ...

The Fundamental Group

The focus of this exposition is the fundamental group of a topological space. The paper begins by defining paths and homotopy, and proceeds to construct the fundamental group. Later, attention turns to the consequences of the construction, in particular to the fundamental group of S1 and Van Kampen’s Theorem.