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math.AT2020
Higher Independence Complexes of graphs and their homotopy types
Priyavrat Deshpande, Anurag Singh
For , the -independence complex of a graph is a simplicial complex whose faces are subset such that each component of the induced subgraph …
math.AT2019
On the topology of bi-cyclopermutohedra
Priyavrat Deshpande, Naageswaran Manikandan, Anurag Singh
Motivated by the work of Panina and her coauthors on cyclopermutohedron we study a poset whose elements correspond to equivalence classes of partitions of the set $\{1,\cdots, n+1\…
math.AT2018
The Goresky-MacPherson formula for toric arrangements
Priyavrat Deshpande
A subspace arrangement is a finite collection of affine subspaces in . One of the main problems associated to arrangements asks up to what extent the topological inva…