Cover Image

An effective Mayer-Vietoris Theorem for discrete Morse homology

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Mukherjee, Sajal, Pramanik, Pritam Chandra, Rakshit, Arundhati
Format:	Preprint
Published:	2026
Subjects:	Combinatorics Algebraic Topology 57Q70 (primary), 05E45, 55U15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Cancellation of a critical pair in discrete Morse theory and its effect on (co)boundary operators
by: Mondal, Anupam, et al.
Published: (2025)

Combinatorial degree version of a generalized $\mathbb{Z}_p$-Tucker's lemma with a combinatorial proof
by: Mukherjee, Sajal, et al.
Published: (2025)

Topology of matching complexes of complete graphs via discrete Morse theory
by: Mondal, Anupam, et al.
Published: (2023)

Corrigendum to "Topology of matching complexes of complete graphs via discrete Morse theory'' [arXiv:2305.02973, Discrete Math. Theor. Comput. Sci. 26:3#13 (2024)]
by: Mondal, Anupam, et al.
Published: (2025)

A note on an application of discrete Morse theoretic techniques on the complex of disconnected graphs
by: Mondal, Anupam, et al.
Published: (2023)

Strong discrete Morse theory
by: Fernández, Ximena L.
Published: (2025)

Discrete Morse theory and the topology of matching complexes of complete graphs
by: Mondal, Anupam, et al.
Published: (2023)

A recursive construction of an acyclic matching on the independence complex of a graph with a simplicial vertex
by: Barik, Sucharita, et al.
Published: (2026)

Vietoris-Rips complexes of Platonic solids
by: Saleh, Nada, et al.
Published: (2023)

The complex of discrete Morse matchings of the $n$-simplex: homotopy types and structural results
by: Scoville, Nicholas A.
Published: (2026)

The Dowker theorem via discrete Morse theory
by: Brun, Morten, et al.
Published: (2024)

Discrete Morse theory for open complexes
by: Knudson, Kevin P., et al.
Published: (2024)

634 vertex-transitive and more than $10^{103}$ non-vertex-transitive 27-vertex triangulations of manifolds like the octonionic projective plane
by: Gaifullin, Alexander A.
Published: (2022)

Persistent Simple-homotopy invariants via discrete Morse theory
by: Ahuja, Divya, et al.
Published: (2026)

On a construction of some homology $d$-manifolds
by: Basak, Biplab, et al.
Published: (2022)

A discrete model for surface configuration spaces
by: Wawrykow, Nicholas
Published: (2025)

Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory
by: Torras-Casas, Álvaro, et al.
Published: (2025)

Discrete Morse theory on $ΩS^2$
by: Johnson, Lacey, et al.
Published: (2024)

New examples and partial classification of 15-vertex triangulations of the quaternionic projective plane
by: Gaifullin, Alexander A.
Published: (2023)

On possible symmetry groups of 27-vertex triangulations of manifolds like the octonionic projective plane
by: Gaifullin, Alexander A.
Published: (2023)

Bounds on Cheeger-Gromov invariants and simplicial complexity of triangulated manifolds
by: Lim, Geunho, et al.
Published: (2023)

Total Cut Complexes of Graphs
by: Bayer, Margaret, et al.
Published: (2022)

Homotopy Type of Total Cut Complexes of Squared Cycle Graphs
by: Shen, Yufeng, et al.
Published: (2025)

On the support of Betti tables of multiparameter persistent homology modules
by: Guidolin, Andrea, et al.
Published: (2023)

Topology of Cut Complexes of Graphs
by: Bayer, Margaret, et al.
Published: (2023)

Reduction of Simplicial Complex by Relation and Dowker Complex
by: Côté, Dominic Desjardins
Published: (2024)

Combinatorial Laplacians and Relative Homology of Complex Pairs
by: Zhan, Xiongfeng, et al.
Published: (2025)

Topological lower bounds on the sizes of simplicial complexes and simplicial sets
by: Avvakumov, Sergey, et al.
Published: (2021)

Topology of independence complexes and cycle structure of hypergraphs
by: Kim, Jinha
Published: (2024)

Perfect Matching Complexes of Polygonal Line Tilings
by: Chandrakar, Himanshu, et al.
Published: (2024)

The Face Group of a Simplicial Complex
by: Lupton, Gregory, et al.
Published: (2025)

Massey iterated products and closed geodesics
by: Ndombol, Bitjong, et al.
Published: (2023)

On the closed geodesics problem
by: Ndombol, Bitjong
Published: (2026)

Combinatorial zeta functions counting triangles
by: Bénard, Léo, et al.
Published: (2023)

The space of discrete Morse functions
by: Brüggemann, Julian
Published: (2023)

Multiple Cylinder of Relations for Finite Spaces and Nerve Theorem for Strong-Good Cover
by: Das, Ponaki, et al.
Published: (2024)

An algorithmic discrete gradient field and the cohomology algebra of configuration spaces of two points on complete graphs
by: González, Emilio J., et al.
Published: (2022)

Total $2$-cut complexes of powers of cycle graphs and Cartesian products of certain graphs
by: Chauhan, Pratiksha, et al.
Published: (2025)

Independence Complexes of Hexagonal Grid Graphs
by: Chandrakar, Himanshu, et al.
Published: (2025)

Some `converses' to intrinsic linking theorems
by: Karasev, R., et al.
Published: (2020)