scholarly journals Bounds on Homological Invariants of VI-Modules

2020 ◽  
Vol 69 (2) ◽  
pp. 273-284 ◽  
Author(s):  
Wee Liang Gan ◽  
Liping Li
IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 32226-32239
Author(s):  
Carlos Bousono-Calzon ◽  
Harold Molina-Bulla ◽  
Jose Joaquin Escudero-Garzas ◽  
Francisco J. Herrera-Galvez

2011 ◽  
Vol 353 (2) ◽  
pp. 275-291 ◽  
Author(s):  
Luchezar L. Avramov ◽  
Melvin Hochster ◽  
Srikanth B. Iyengar ◽  
Yongwei Yao

1993 ◽  
Vol 02 (02) ◽  
pp. 125-140
Author(s):  
MICHAEL S. FARBER ◽  
JONATHAN A. HILLMAN

We shall show that the stable isometry structure determined by a suitable Seifert hypersurface of a doubly null concordant knot is hyperbolic and we prove a converse for stable knots. This suggests a “universal” source for the known homological invariants of DNC-equivalence. As an application of our main result we shall show that if the homology of the universal cover of the complement of a stable n-knot is torsion, involving only primes >(n+10)/6, and is 0 in the middle dimensions then the knot is doubly null concordant.


Author(s):  
Takayuki Hibi ◽  
Hiroju Kanno ◽  
Kyouko Kimura ◽  
Kazunori Matsuda ◽  
Adam Van Tuyl

2014 ◽  
Vol DMTCS Proceedings vol. AT,... (Proceedings) ◽  
Author(s):  
Stuart Margolis ◽  
Franco Saliola ◽  
Benjamin Steinberg

International audience We present a beautiful interplay between combinatorial topology and homological algebra for a class of monoids that arise naturally in algebraic combinatorics. We explore several applications of this interplay. For instance, we provide a new interpretation of the Leray number of a clique complex in terms of non-commutative algebra.


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