What's special about elliptic cohomology?
What's special about elliptic cohomology? - MathOverflow
A great thing about elliptic curves is that they come in families, so you can naturally deform your cohomology theory.
Elliptic cohomology - Wikipedia
Elliptic cohomology ... In mathematics, elliptic cohomology is a cohomology theory in the sense of algebraic topology. It is related to elliptic curves and ...
An elliptic cohomology theory is a type of generalized (Eilenberg-Steenrod) cohomology theory associated with the datum of an elliptic curve.
A Survey of Elliptic Cohomology - Harvard Mathematics Department
... special feature of elliptic cohomology ... In doing so, we have ignored what is perhaps the most interesting question of all: what is elliptic cohomology?
ELLIPTIC COHOMOLOGY - MSU math
We begin by defining complex-oriented cohomology theories and looking at the two special cases of complex cobordism and K-theory. We then see that a complex ...
A Survey of Elliptic Cohomology in nLab
Gluing all elliptic cohomology theories to the tmf spectrum ... There are precisely three different types of such formal groups: ... The first case ...
A Swashbuckling Tour of Elliptic Cohomology - math is art
What is elliptic cohomology? · A family of elliptic curves (C) over a coefficient ring (R) · A generalized, complex orientable cohomology theory (h^*(-)). · Our ...
[2106.07676] Elliptic cohomology is unique up to homotopy - arXiv
Abstract:Homotopy theory folklore tells us that the sheaf defining the cohomology theory Tmf of topological modular forms is unique up to ...
elliptic cohomology and elliptic curves (felix klein lectures, bonn 2015)
give these talks, which were a great challenge, but also great fun. 1. What is elliptic cohomology? I'll start with a brief ”pseudo-historical” account of ...
Elliptic cohomology - Encyclopedia of Mathematics
A term first introduced in 1986 by P.S. Landweber, D.C. Ravenel and R.E. Stong (cf. [a2] and [a3]) to designate a cohomology theory obtained ...
space of a symplectic manifold. One sign that there may be rich undiscovered geometrical properties of loop spaces is the existence of elliptic cohomology. What ...
ELLIPTIC COHOMOLOGY IS UNIQUE UP TO HOMOTOPY
ELLIPTIC COHOMOLOGY IS UNIQUE UP TO HOMOTOPY - Volume 115 Issue 1. ... In what follows, we write (−)K(n) for the K(n) -localisation of E∞ ...
This Week's Finds in Mathematical Physics (Week 197)
You can think of elliptic cohomology as a souped-up version of K-theory where you study a space by looking at all the "2-vector bundles" on it!
Charles Rezk: Elliptic cohomology and elliptic curves (Part 1)
The lecture was held within the framework of the Felix Klein Lectures at Hausdorff Center for Mathematics on the 1. June 2015.
Elliptic Cohomology I: Spectral Abelian Varieties
Elliptic cohomology studies a special class of cohomology theories which are ... What does it mean to give an elliptic curve (or, more ...
Lennart Meier: Equivariant Elliptic Cohomology - YouTube
Elliptic cohomology is a higher analogue of topological K-theory, based on a chosen elliptic curve. For applications in geometry and ...
Seminar on 2-Vector Bundles and Elliptic Cohomology, IV
There is a spectrum (a generalized cohomology theory) called TMF = “topological modular forms” that is universal with respect to all elliptic ...
A Survey of Elliptic Cohomology - SpringerLink
In Sect. 5 we discuss various applications of these ideas, many of which rely upon a special feature of elliptic cohomology which we call 2-equivariance. The ...
Newest 'elliptic-cohomology' Questions - MathOverflow
What's special about elliptic cohomology? Apologies for any basic mistakes in this question; I'm a beginner to this theory and don't have anyone at my ...
Periodic Cohomology Theories Defined by Elliptic Curves
We refer to all the periodic theories introduced here as elliptic homology (or cohomology). ... formal group F over R, there is a unique homomorphism ϕ : ΩU. ∗ → ...