The Sebastiani–Thom Isomorphism in the Derived Category

David B. Massey

doi:10.1023/A:1002608716514

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We prove that the Sebastiani–Thom isomorphism for Milnor fibres and their monodromies exists as a natural isomorphism between vanishing cycles in the derived category.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Houston, Kevin 2008. Handbook of Global Analysis. p. 493.

MASSEY, DAVID B. 2009. INTERSECTION COHOMOLOGY, MONODROMY AND THE MILNOR FIBER. International Journal of Mathematics, Vol. 20, Issue. 04, p. 491.

Davison, Ben 2016. Cohomological Hall algebras and character varieties. International Journal of Mathematics, Vol. 27, Issue. 07, p. 1640003.

Hepler, Brian and Massey, David B. 2017. Some special cases of Bobadilla's conjecture. Topology and its Applications, Vol. 217, Issue. , p. 59.

Davison, Ben 2017. The Critical CoHA of a Quiver With Potential. The Quarterly Journal of Mathematics, Vol. 68, Issue. 2, p. 635.

Efimov, Alexander I 2018. Cyclic Homology of Categories of Matrix Factorizations. International Mathematics Research Notices, Vol. 2018, Issue. 12, p. 3834.

Davison, Ben 2018. Positivity for quantum cluster algebras. Annals of Mathematics, Vol. 187, Issue. 1,

Maxim, Laurenţiu G. 2019. Intersection Homology & Perverse Sheaves. Vol. 281, Issue. , p. 181.

MAXIM, LAURENŢIU G. 2020. NOTES ON VANISHING CYCLES AND APPLICATIONS. Journal of the Australian Mathematical Society, Vol. 109, Issue. 3, p. 371.

Yang, Yaping and Zhao, Gufang 2020. On two cohomological Hall algebras. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol. 150, Issue. 3, p. 1581.

Maxim, Laurentiu Saito, Morihiko and Schürmann, Jörg 2020. Thom–Sebastiani Theorems for Filtered 𝒟-Modules and for Multiplier Ideals. International Mathematics Research Notices, Vol. 2020, Issue. 1, p. 91.

Kiem, Young-Hoon and Li, Jun 2020. Quantum singularity theory via cosection localization. Journal für die reine und angewandte Mathematik (Crelles Journal), Vol. 2020, Issue. 766, p. 73.

Young, Matthew B. 2020. Representations of Cohomological Hall Algebras and Donaldson–Thomas Theory with Classical Structure Groups. Communications in Mathematical Physics, Vol. 380, Issue. 1, p. 273.

Cunningham, Clifton Fiori, Andrew Moussaoui, Ahmed Mracek, James and Xu, Bin 2022. Arthur packets for 𝑝-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples. Memoirs of the American Mathematical Society, Vol. 276, Issue. 1353,

Maxim, Laurenţiu G. and Schürmann, Jörg 2022. Handbook of Geometry and Topology of Singularities III. p. 679.

Bilu, Margaret 2023. Motivic Euler Products and Motivic Height Zeta Functions. Memoirs of the American Mathematical Society, Vol. 282, Issue. 1396,

Davison, Ben 2023. A boson-fermion correspondence in cohomological Donaldson–Thomas theory. Glasgow Mathematical Journal, Vol. 65, Issue. S1, p. S28.

Article contents

The Sebastiani–Thom Isomorphism in the Derived Category

Abstract

Keywords

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

The Sebastiani–Thom Isomorphism in the Derived Category

Abstract

Keywords

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests