Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetric field theories and cohomology   This is the Ph.D. dissertation of the author. The project has been motivated
by the conjecture that the Hopkins-Miller tmf spectrum can be described in
terms of `spaces' of conformal field theories. In this dissertation, spaces of
field theories are constructed as classifying spaces of categories whose
objects are certain types of field theories. If such a category has a symmetric
monoidal structure and its components form a group, by work of Segal, its
classifying space is an infinite loop space and defines a cohomology theory.
This has been carried out for two classes of field theories: (i) For each
integer n, there is a category SEFT_n whose objects are the Stolz-Teichner
(1|1)-dimensional super Euclidean field theories of degree n. It is proved that
the classifying space |SEFT_n| represents degree-n K or KO cohomology,
depending on the coefficients of the field theories. (ii) For each integer n,
there is a category AFT_n whose objects are a kind of (2|1)-dimensional field
theories called `annular field theories,' defined using supergeometric versions
of circles and annuli only. It is proved that the classifying space |AFT_n|
represents the degree-n elliptic cohomology associated with the Tate curve. To
the author's knowledge, this is the first time the definitions of
low-dimensional supersymmetric field theories are given in full detail.

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The categories of this paper are: supr-con
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
1
The categories of this paper are: cs