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math.KT2026
The Abel Summation Method and Infinite Euler Characteristic
Thomas Huettemann, Dan Kucerovsky
We develop a finiteness notion for unbounded chain complexes over a commutative noetherian integral domain employing the Abel summation method. The algebraic K-theory of such c…
math.KT2026
An Euler Characteristic for Unbounded Chain Complexes
Thomas Huettemann, Dan Kucerovsky
We propose a definition of an Euler characteristic for unbounded chain complexes by taking the (usual) Euler characteristics of successively longer parts of the complex, weighted i…
math.KT2023
A short proof of an index theorem, II
Y. Abdolmaleki, D. Kucerovsky
We introduce a slight modification of the usual equivariant -theory. We use this to give a -theoretical proof of an equivariant index theorem for Dirac-Schrodinger operator…