arXiv Analytics

Sign in

arXiv:2407.06923 [math.GT]AbstractReferencesReviewsResources

On fundamental groups of spaces of (framed) embeddings of the circle in a $4$-manifold

Danica Kosanovicć

Published 2024-07-09Version 1

Motivated by recent results on diffeomorphisms, this paper investigates fundamental groups of spaces of embeddings of $S^1$ and $S^1\times D^3$ in 4-manifolds. We express the latter (framed) case in terms of the former, and study examples of the form $M\# S^1\times S^3$ in detail.

Comments: 21 pages, 1 figure
Categories: math.GT, math.AT
Subjects: 57R40, 57K40, 57K45, 58D10
Related articles: Most relevant | Search more
arXiv:2405.05822 [math.GT] (Published 2024-05-09, updated 2024-07-10)
Diffeomorphisms of 4-manifolds from degree one graspers
arXiv:0812.0263 [math.GT] (Published 2008-12-01, updated 2010-10-24)
Embeddings of k-connected n-manifolds into R^{2n-k-1}
arXiv:1405.1947 [math.GT] (Published 2014-05-08, updated 2015-12-05)
Lin-Wang type formula for the Haefliger invariant

Links

Toolbox