Published February 26, 2013
| Submitted + Published
Journal Article
Open
Integer hulls of linear polyhedra and scl in families
- Creators
- Calegari, Danny
- Walker, Alden
Chicago
An error occurred while generating the citation.
Abstract
The integer hull of a polyhedron is the convex hull of the integer points contained in it. We show that the vertices of the integer hulls of a rational family of polyhedra of size O(n) have eventually quasipolynomial coordinates. As a corollary, we show that the stable commutator length of elements in a surgery family is eventually a ratio of quasipolynomials, and that unit balls in the scl norm eventually quasiconverge in finite-dimensional surgery families.
Additional Information
© 2013 American Mathematical Society The copyright for this article reverts to public domain 28 years after publication. Received by the editors November 22, 2010 and, in revised form, November 29, 2011. Article electronically published on February 26, 2013. The first author was supported by NSF grant DMS 1005246. The authors thank Jesus De Loera and Greg Kuperberg for some useful conversations about this material. The authors also thank the anonymous referees for helpful suggestions and corrections.Attached Files
Published - S0002-9947-2013-05775-3.pdf
Submitted - 1011.1455v3.pdf
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Additional details
- Eprint ID
- 42056
- Resolver ID
- CaltechAUTHORS:20131024-153105928
- NSF
- DMS 1005246
- Created
-
2013-10-24Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
- Other Numbering System Name
- MathSciNet Review
- Other Numbering System Identifier
- 3074368