Adams operations on matrix factorizations

DOI10.2140/ant.2017.11.2165zbMath1428.13023arXiv1610.09907OpenAlexW2539718449WikidataQ114045581 ScholiaQ114045581MaRDI QIDQ1686481

Peder Thompson, Michael K. Brown, Mark E. Walker, Claudia M. Miller

Publication date: 15 December 2017

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09907

zbMATH Keywords

Adams operationsmatrix factorizationsHochster's theta pairing

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Homological conjectures (intersection theorems) in commutative ring theory (13D22) Grothendieck groups, (K)-theory and commutative rings (13D15) Derived categories and commutative rings (13D09)

Related Items

A proof of a conjecture of Shklyarov ⋮ Standard conjecture \(D\) for matrix factorizations ⋮ Asymptotic behavior of Ext for pairs of modules of large complexity over graded complete intersections ⋮ Adams Operations in Commutative Algebra

Cites Work

• Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations
• On the vanishing of Hochster's \(\theta\) invariant
• Cyclic Adams operations
• Hochster's theta invariant and the Hodge-Riemann bilinear relations
• Lambda and psi operations on Green rings
• Intersection theory using Adams operations
• Decent intersection and Tor-rigidity for modules over local hypersurfaces
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• Adams operations for projective modules over group rings
• An Index Theorem for Modules on a Hypersurface Singularity
• Hochster's theta pairing and numerical equivalence
• POWER OPERATIONS IN K-THEORY