16 citations · 28 across the 13 of their papers we have counts for
15 papers
Equivariant formality for rational $\C_{p^k}$-spaces
Rekha Santhanam, Bittu Singh, Soumyadip Thandar
In this paper, we discuss equivariant formality for spaces equipped with a primary cyclic group action. We study the behavior of equivariant formality with some topological constru…
Brown's Asymptotic Limit Functor and Proper Homology
Sumanta Das, Rekha Santhanam
In 1974, E. M. Brown introduced the -functor to study the proper homotopy groups of an end, suggesting a parallel proper homology theory that has since remained undeveloped. I…
Equivariant Relative Sectional Category and Induced Invariants
Navnath Daundkar, Rekha Santhanam, Bittu Singh
The relative sectional category, introduced by González, Grant, and Vandembroucq for fibrations and later extended by García-Calcines to arbitrary maps, provides a common framework…
Cofibrantly generated model structures for functor calculus
Lauren Bandklayder, Julia E. Bergner, Rhiannon Griffiths +2
Model structures for many different kinds of functor calculus can be obtained by applying a theorem of Bousfield to a suitable category of functors. In this paper, we give a genera…
Higher topological complexity of Seifert fibered manifolds
Navnath Daundkar, Rekha Santhanam, Soumyadip Thandar
In this article, we investigate the higher topological complexity of oriented Seifert fibered manifolds that are Eilenberg--MacLane spaces with infinite fundamental group…
Cofibration category structures on the category of graphs
Shuchita Goyal, Rekha Santhanam
In this article, we show that there is no cofibration category structure on the category of finite graphs with -homotopy equivalences as the class of weak equivalences. Fur…
Equivariant Intrinsic Formality
Rekha Santhanam, Soumyadip Thandar
Algebraic models for equivariant rational homotopy theory were developed by Triantafillou and Scull for finite group actions and action, respectively. They showed that given…
Bounds for the collapsibility number of a simplicial complex and non-cover complexes of hypergraphs
Rekha Santhanam, Samir Shukla, Anurag Singh
The collapsibility number of simplicial complexes was introduced by Wegner in order to understand the intersection patterns of convex sets. This number also plays an important role…
Enriched functor categories for functor calculus
Lauren Bandklayder, Julia E. Bergner, Rhiannon Griffiths +2
In this paper we present background results in enriched category theory and enriched model category theory necessary for developing model categories of enriched functors suitable f…
Vertex cut of a graph and connectivity of its neighbourhood complex
Rekha Santhanam, Samir Shukla
We show that if a graph satisfies certain conditions then the connectivity of neighbourhood complex is strictly less than the vertex connectivity of . As an…
(Lack of) Model Structures on the Category of Graphs
Shuchita Goyal, Rekha Santhanam
In this article, we study model structures on the category of finite graphs with -homotopy equivalences as the weak equivalences. We show that there does not exist an analo…
Lovász' original lower bound: Getting tighter bounds and Reducing computational complexity
Shuchita Goyal, Rekha Santhanam
In this article, we give conditions on a graph under which the Lovász' original bound of the graph can be improved by increasing the topological connectivity of its neighbourhood c…
A short treatise on Equivariant Gamma spaces
Rekha Santhanam
Equivariant -spaces model equivariant infinite loop spaces. In this article, we show that there exists a connective Quillen equivalence between the category of equivariant -s…
Sheaves and -theory for -schemes
Chenghao Chu, Oliver Lorscheid, Rekha Santhanam
This paper is devoted to the open problem in -geometry of developing -theory for -schemes. We provide all necessary facts from the theory of monoid a…
Units of equivariant ring spectra
Rekha Santhanam
It is well known that very special -spaces and grouplike $\E_\infty$ spaces both model connective spectra. Both these models have equivariant analogues. Shimakawa defined the ca…