On the S-fundamental group scheme. II

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.

The Fundamental Group of S-manifolds

We address the problem of computing the fundamental group of a symplectic S1-manifold for non-Hamiltonian actions on compact manifolds, and for Hamiltonian actions on non-compact manifolds with a proper moment map. We generalize known results for compact manifolds equipped with a Hamiltonian S1-action. Several examples are presented to illustrate our main results.

Algebraic Topology Notes, Part Ii: Fundamental Group

The teaching material that forms this web site is copyright. Other than for the purposes of and subject to the conditions prescribed under the Copyright Act, no part of it may in any form or by any means (electronic, mechanical, microcopying, photocopying, recording or otherwise) be altered, reproduced, stored in a retrieval system or transmitted without prior written permission from the Univer...

The Fundamental Group for the Complement of Cayley ’ s Singularities ∗

Given a singular surface X, one can extract information on it by investigating the fundamental group π1(X − SingX). However, calculation of this group is non-trivial, but it can be simplified if a certain invariant of the branch curve of X – called the braid monodromy factorization – is known. This paper shows, taking the Cayley cubic as an example, how this fundamental group can be computed by...

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