45 citations · 131 across the 13 of their papers we have counts for
16 papers
Looking for a Refined Monster
Nora Ganter
We discuss some categorical aspects of the objects that appear in the construction of the Monster and other sporadic simple groups. We define the basic representation of the catego…
Codes, Vertex Operators and Topological Modular Forms
Nora Ganter, Gerd Laures
We describe a new link between the theory of topological modular forms and representations of vertex operator algebras obtained by certain lattices. The construction is motivated b…
Platonic and alternatinc 2-groups
Narthana Epa, Nora Ganter
We recall Schur's work on universal central extensions and develop the analogous theory for categorical extensions of groups. We prove that the String 2-groups are universal in thi…
Representation and character theory of finite categorical groups
Nora Ganter, Robert Usher
We study the gerbal representations of a finite group or, equivalently, module categories over Ostrik's category for a 3-cocycle . We adapt Bartlett's string diagr…
Global Mackey functors with operations and n-special lambda rings
Nora Ganter
Systematically using the language of groupoids, we survey the theory of global Mackey functors, global Green functors and global power functors. Given a global power functor, we st…
Power operations in orbifold Tate K-theory
Nora Ganter
We formulate the axioms of an orbifold theory with power operations. We define orbifold Tate K-theory, by adjusting Devoto's definition of the equivariant theory, and proceed to co…
Generalized Schubert Calculus
Nora Ganter, Arun Ram
In this paper we study the T-equivariant generalized cohomology of flag varieties using two models, the Borel model and the moment graph model. We study the differences between the…
The elliptic Weyl character formula
Nora Ganter
We calculate equivariant elliptic cohomology of the partial flag variety G/H, where H \subseteq G are compact connected Lie groups of equal rank. We identify the RO(G)-graded coeff…
Symmetric and exterior powers of categories
Nora Ganter, Mikhail Kapranov
We define symmetric and exterior powers of categories, fitting into categorified Koszul complexes. We discuss examples and calculate the effect of these power operations on the cat…
Inner products of 2-representations
Nora Ganter
We define and calculate inner products of 2-representations. Along the way, we prove that the categorical trace Tr(-) of [Ganter and Kapranov, Representation and character theory i…
Hecke operators in equivariant elliptic cohomology and generalized moonshine
Nora Ganter
This paper studies connections between generalized moonshine and elliptic cohomology with a focus on the action of the Hecke correspondence and its implications for the notion of r…
Stringy power operations in Tate K-theory
Nora Ganter
We study the loop spaces of the symmetric powers of an orbifold and use our results to define equivariant power operations in Tate K-theory. We prove that these power operations ar…
The Jacobi orientation and the two-variable elliptic genus
Matthew Ando, Christopher P. French, Nora Ganter
We explain the relationship between the sigma orientation and Witten genus on the one hand and the two-variable elliptic genus on the other. We show that if E is an elliptic spectr…
Representation and character theory in 2-categories
Nora Ganter, Mikhail Kapranov
We define the character of a group representation in a 2-category C. For linear C, this notion yields a Hopkins-Kuhn-Ravenel type character theory defined on pairs of commuting ele…
Smash products of E(1)-local spectra at an odd prime
Nora Ganter
In 1996, Franke constructed a purely algebraic category that is equivalent as a triangulated category to the E(n)-local stable homotopy category for n^2+n < 2p-2. The two categorie…
Orbifold genera, product formulas and power operations
Nora Ganter
We generalize the definition of orbifold elliptic genus, and introduce orbifold genera of chromatic level h, using h-tuples rather than pairs of commuting elements. We show that ou…