arXiv Open Access 2020

The plethory of operations in complex topological K-theory

William Mycroft Sarah Whitehouse

Lihat Sumber

Abstrak

We provide a concrete introduction to the topologised, graded analogue of an algebraic structure known as a plethory, originally due to Tall and Wraith. Stacey and Whitehouse showed this structure is present on the cohomology operations for a suitable generalised cohomology theory. We compute an explicit expression for the plethory of operations for complex topological K-theory. This is formulated in terms of a plethory enhanced with structure corresponding to the looping of operations. In this context we show that the familiar lambda operations generate all the operations.

Topik & Kata Kunci

math.KT

Penulis (2)

William Mycroft

Sarah Whitehouse

Format Sitasi

APA MLA BibTeX

Mycroft, W., Whitehouse, S. (2020). The plethory of operations in complex topological K-theory. https://arxiv.org/abs/2001.01608

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓