
The Library
Geometric structures, Gromov Norm and Kodaira dimensions
Tools
Zhang, Weiyi (2017) Geometric structures, Gromov Norm and Kodaira dimensions. Advances in Mathematics, 308 . pp. 1-35. doi:10.1016/j.aim.2016.12.005 ISSN 0001-8708.
|
PDF
WRAP-geometric-structures-Kodaira-Zhang-2017.pdf - Accepted Version - Requires a PDF viewer. Download (722Kb) | Preview |
Official URL: https://doi.org/10.1016/j.aim.2016.12.005
Abstract
We define the Kodaira dimension for 3-dimensional manifolds
through Thurston’s eight geometries, along with a classification in
terms of this Kodaira dimension. We show this is compatible with other
existing Kodaira dimensions and the partial order defined by non-zero
degree maps. For higher dimensions, we explore the relations of geometric structures and mapping orders with various Kodaira dimensions and other invariants. Especially, we show that a closed geometric 4-manifold has nonvanishing Gromov norm if and only if it has geometry H 2 × H 2 , H 2 (C) or H 4.
Item Type: | Journal Article | ||||||||
---|---|---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Complex manifolds, Symplectic manifolds | ||||||||
Journal or Publication Title: | Advances in Mathematics | ||||||||
Publisher: | Academic Press | ||||||||
ISSN: | 0001-8708 | ||||||||
Official Date: | 21 February 2017 | ||||||||
Dates: |
|
||||||||
Volume: | 308 | ||||||||
Page Range: | pp. 1-35 | ||||||||
DOI: | 10.1016/j.aim.2016.12.005 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 15 December 2016 | ||||||||
Date of first compliant Open Access: | 16 December 2017 | ||||||||
Funder: | American Mathematical Society, Engineering and Physical Sciences Research Council (EPSRC) | ||||||||
Grant number: | EP/N002601/1 | ||||||||
Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
![]() |
View Item |
Downloads
Downloads per month over past year