16 citations · 28 across the 13 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…
(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…
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…
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…