Pith. sign in

REVIEW 1 cited by

Trisections of non-orientable 4-manifolds

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2010.07433 v1 pith:LP5E4JBI submitted 2020-10-14 math.GT

Maggie Miller , Patrick Naylor This is my paper · ORCID
classification math.GT
keywords non-orientablemanifoldstrisectionsdiagramsadaptedanalogueboundaryclassical
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We study trisections of smooth, compact non-orientable 4-manifolds, and introduce trisections of non-orientable 4-manifolds with boundary. In particular, we prove a non-orientable analogue of a classical theorem of Laudenbach-Po\'enaru. As a consequence, trisection diagrams and Kirby diagrams of closed non-orientable 4-manifolds exist. We discuss how the theory of trisections may be adapted to the setting of non-orientable 4-manifolds with many examples.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The relative $\mathcal{L}$-invariant of a compact $4$-manifold

    math.GT 2019-08 conditional novelty 8.0 of 10

    The relative L-invariant is zero only for the 4-ball among rational homology balls, and relative trisections are unique up to interior stabilization, relative stabilization, and the new relative double twist.

Pith tools