Elementary Proofs of Some Results of Cobordism Theory Using Steenrod Operations*

@inproceedings{Quillen2003ElementaryPO,
  title={Elementary Proofs of Some Results of Cobordism Theory Using Steenrod Operations*},
  author={Daniel Quillen},
  year={2003}
}
In this paper I give new proofs of the structure theorems for the unoriented cobordism ring [12] and the complex cobordism ring [8, 131. The proofs are elementary in the sense that no mention of the Steenrod algebra or Adams spectral sequence is made. In fact, the only result from homotopy theory which is used in an essential way is the Serre finiteness theorem in order to know that the complex cobordism group of a given dimension is finitely generated. The technique used here capitalizes on… CONTINUE READING
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