Vector bundles on the projective line and finite domination of chain complexes

Thomas Huettemann

doi:10.3318/pria.2015.115.2

Vector bundles on the projective line and finite domination of chain complexes

Thomas Huettemann

Research output: Contribution to journal › Article › peer-review

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Abstract

We present an algebro-geometric approach to a theorem on finite domination of chain complexes over a Laurent polynomial ring. The approach uses extension of chain complexes to sheaves on the projective line, which is governed by a K-theoretical obstruction.

Original language	English
Number of pages	12
Journal	Mathematical Proceedings of the Royal Irish Academy
Volume	115A
Issue number	1
DOIs	https://doi.org/10.3318/pria.2015.115.2
Publication status	Published - 2015

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10.3318/pria.2015.115.2

Vector bundles on the projective line and finite domination of chain complexes
Copyright 2015 Royal Irish Academy
Accepted author manuscript, 337 KB

1 Finished

R1052PMR: Toric methods in homotopy theory
Huettemann, T. (PI)
01/08/2009 → 31/12/2011
Project: Research

2 Oral presentation
1 Invited or keynote talk at national or international conference
1 Invited talk

The algebraic theory of finite domination
Huettemann, T. (Invited speaker)
21 Jan 2019
Activity: Talk or presentation types › Invited or keynote talk at national or international conference
Toric varieties, Novikov homology and finiteness conditions for chain complexes
Huettemann, T. (Speaker) & Sabatini, S. (Organiser)
11 Jul 2018
Activity: Talk or presentation types › Oral presentation
Conference on Topology of Torus Actions, Daejeon (South Korea): Toric varieties and finite domination of chain complexes
Huettemann, T. (Speaker)
07 Aug 2014 → 11 Aug 2014
Activity: Talk or presentation types › Oral presentation

Thomas Huettemann
- t.huettemannqub.acuk
- School of Mathematics and Physics - Senior Lecturer
- Mathematical Sciences Research Centre
Person: Academic

2 Article

Finite domination and Novikov rings. Iterative approach
Huettemann, T. & Quinn, D., Jan 2013, In: Glasgow Mathematical Journal. 55, 1, p. 145-160 16 p.
Research output: Contribution to journal › Article › peer-review
2 Citations (Scopus)
Double complexes and vanishing of Novikov cohomology
Hüttemann, T., 01 Dec 2011, In: Serdica Mathematical Journal. 37, 4, p. 295-304
Research output: Contribution to journal › Article › peer-review

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Cite this

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Vector bundles on the projective line and finite domination of chain complexes

Abstract

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Projects

R1052PMR: Toric methods in homotopy theory

Activities

The algebraic theory of finite domination

Toric varieties, Novikov homology and finiteness conditions for chain complexes

Conference on Topology of Torus Actions, Daejeon (South Korea): Toric varieties and finite domination of chain complexes

Profiles

Thomas Huettemann

Research output

Finite domination and Novikov rings. Iterative approach

Double complexes and vanishing of Novikov cohomology

Cite this