Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From the signature theorem to anomaly cancellation   We survey the Hirzebruch signature theorem as a special case of the
Atiyah-Singer index theorem. The family version of the Atiyah-Singer index
theorem in the form of the Riemann-Roch-Grothendieck-Quillen (RRGQ) formula is
then applied to the complexified signature operators varying along the
universal family of elliptic curves. The RRGQ formula allows us to determine a
generalized cohomology class on the base of the elliptic fibration that is
known in physics as (a measure of) the local and global anomaly. Combining
several anomalous operators allows us to cancel the local anomaly on a Jacobian
elliptic surface, a construction that is based on the construction of the
Poincar\'e line bundle over an elliptic surface.

0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol