arXiv Analytics

Sign in

arXiv:1511.03310 [math.GT]AbstractReferencesReviewsResources

Flows in Flatland: A Romance of Few Dimensions

Gabriel Katz

Published 2015-11-10Version 1

In this paper, we present our general results about traversing flows on manifolds with boundary in the context of the flows on surfaces with boundary. We take advantage of the relative simplicity of $2D$-worlds to explain and popularize our approach to the Morse theory on smooth manifolds with boundary, in which the boundary effects take the central stage.

Comments: 39 pages, 16 figures
Categories: math.GT
Related articles: Most relevant | Search more
arXiv:1207.3066 [math.GT] (Published 2012-07-12, updated 2014-09-16)
Morse theory for manifolds with boundary
arXiv:1107.5527 [math.GT] (Published 2011-07-27)
On the Associativity of Gluing
arXiv:1211.3028 [math.GT] (Published 2012-11-13, updated 2014-09-27)
Morse theory for Lagrange multipliers and adiabatic limits