Discrete Morse theory for cellular resolutions

By E. Batzies. 2002

124 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Discrete Morse Theory for Manifolds with Boundary (2010, background): “Discrete Morse theory opens doors to computational geometry [24, 39, 41, 44] and to commutative algebra [3, 40, 68].”
Minimal free resolutions that are not supported by a CW-complex (2008, methodology): “We will use the term CW-resolutions to refer to the generalization of cellular resolutions proposed in [3] (In section 5 we will show that CW resolutions are a strictly larger class).”
Resolutions by mapping cones (2001, unknown): “A C ] 1 0 Ja n 20 01”
A USER'S GUIDE TO DISCRETE MORSE THEORY (2002, unknown): “I would like to begin by encouraging the reader to take a look at the papers [24], [25], and [3].”
Minimal Resolutions Via Algebraic Discrete Morse Theory (2009, methodology): “We now give a generalization of the hypersimplex resolution introduced by Batzies [5].”
SYZYGIES OF ORIENTED MATROIDS (2000, methodology): “A general construction of M-complexes using discrete Morse theory was proposed by Batzies and Welker [ 1 ].”