4 citations · 6 across the 3 of their papers we have counts for
3 papers
Edge Contractions and Simplicial Homology
Tamal K. Dey, Anil N. Hirani, Bala Krishnamoorthy +1
We study the effect of edge contractions on simplicial homology because these contractions have turned to be useful in various applications involving topology. It was observed prev…
The Least Spanning Area of a Knot and the Optimal Bounding Chain Problem
Nathan M. Dunfield, Anil N. Hirani
Two fundamental objects in knot theory are the minimal genus surface and the least area surface bounded by a knot in a 3-dimensional manifold. When the knot is embedded in a genera…
A Dihedral Acute Triangulation of the Cube
Evan VanderZee, Anil N. Hirani, Vadim Zharnitsky +1
It is shown that there exists a dihedral acute triangulation of the three-dimensional cube. The method of constructing the acute triangulation is described, and symmetries of the t…