Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hodge filtered complex bordism   We construct Hodge filtered cohomology groups for complex manifolds that
combine the topological information of generalized cohomology theories with
geometric data of Hodge filtered holomorphic forms. This theory provides a
natural generalization of Deligne cohomology. For smooth complex algebraic
varieties, we show that the theory satisfies a projective bundle formula and
$\A^1$-homotopy invariance. Moreover, we obtain transfer maps along projective
morphisms.

0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ