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Title:Motivic symmetric ring spectrum representing algebraic K-theory
Author(s):Kim, Youngsoo
Director of Research:Grayson, Daniel R.
Doctoral Committee Chair(s):McCarthy, Randy
Doctoral Committee Member(s):Grayson, Daniel R.; Ando, Matthew; Rezk, Charles
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):motivic spectrum
algebraic K-theory
ring spectrum
standard vector bundles
Abstract:Voevodsky showed that there is a motivic spectrum representing algebraic K-theory. We describe an equivalent spectrum that is also a symmetric ring spectrum. A coherence problem occurs when one verifies the symmetry. It is explained and solved by introducing a category of vector bundles with strictly associative tensor product that is also strictly commutative with line bundles.
Issue Date:2010-08-20
URI:http://hdl.handle.net/2142/16878
Rights Information:Copyright 2010 Youngsoo Kim
Date Available in IDEALS:2010-08-20
Date Deposited:2010-08


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