English

Motivic Tubular Neighborhoods

Algebraic Geometry 2007-05-23 v3 Algebraic Topology

Abstract

We construct motivic versions of the classical tubular neighborhood and the punctured tubular neighborhood, and give applications to the construction of tangential base-points for mixed Tate motives, algebraic gluing of curves with boundary components, and limit motives.

Keywords

Cite

@article{arxiv.math/0509463,
  title  = {Motivic Tubular Neighborhoods},
  author = {Marc Levine},
  journal= {arXiv preprint arXiv:math/0509463},
  year   = {2007}
}

Comments

This version repairs an error from the original version, yielding a monodromy sequence for theories with rational coefficients which satisfy an "alternating" condition. There are additional minor corrections and improvements