Quadratic refinements in algebraic geometry

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Publications

Virtual Localization in equivariant Witt cohomology

Author(s): Marc Levine
Published in: arXiv, 2022
Publisher: arXiv

The chow weight structure for geometric motives of quotient stacks

Author(s): Aranaha, Dhyan; Chowdhury, Chirantan
Published in: arxiv, 2023
Publisher: arxiv

Motivic Homotopy Theory of Algebraic Stacks

Author(s): Chirantan Chowdhury
Published in: arxiv, 2021
Publisher: arxiv

Localization theorems for algebraic stacks

Author(s): Dhyan Aranha, A. Khan, A. Latyntsev, H. Park, C. Ravi
Published in: arxiv, 2022
Publisher: arxiv

Combing a hedgehog over a field

Author(s): Ananyevskiy, Alexey; Levine, Marc
Published in: arxiv, 2023
Publisher: arxiv

Hermitian K-theory of Grassmannians

Author(s): Rohrbach, Herman
Published in: arxiv, 2023
Publisher: arxiv

Motivic characteristic classes for singular schemes

Author(s): Azouri, Ran
Published in: arxiv, 2022
Publisher: arxiv

Bézoutians and the 1-degree

Author(s): Thomas Brazelton, Stephen McKean, Sabrina Pauli
Published in: arXiv, 2021
Publisher: arXiv

Arithmetic Counts of Tropical Plane Curves and Their Properties

Author(s): Puentes, Andrés Jaramillo; Markwig, Hannah; Pauli, Sabrina; Röhrle, Felix
Published in: arxiv, 2023
Publisher: arxiv

Quadratically Enriched Tropical Intersections

Author(s): Andrés Jaramillo Puentes, Sabrina Pauli
Published in: arxiv, 2022
Publisher: arxiv

The Intrinsic Normal Cone For Artin Stacks

Author(s): Dhyan Aranha, Piotr Pstrągowski
Published in: arXiv, 2019
Publisher: arXiv

A Gersten complex on real schemes

Author(s): Jin, Fangzhou; Xie, Heng
Published in: arXiv, 2020
Publisher: arXiv

On Atiyah-Segal completion for T-equivariant Hermitian K-theory

Author(s): Herman Rohrbach
Published in: arXiv, 2022
Publisher: arXiv

A relative orientation for the moduli space of stable maps to a del Pezzo surface

Author(s): Kass, Jesse Leo; Levine, Marc; Solomon, Jake P.; Wickelgren, Kirsten
Published in: arxiv, 2023
Publisher: arxiv

Quadratic Counts of Twisted Cubics

Author(s): Marc Levine, Sabrina Pauli
Published in: arxiv, 2022
Publisher: arxiv

Orienting the Hilbert scheme of points on a spin threefold

Author(s): Levine, Marc
Published in: arxiv, 2023
Publisher: arxiv

A quadratically enriched count of rational curves

Author(s): Kass, Jesse Leo; Levine, Marc; Solomon, Jake P.; Wickelgren, Kirsten
Published in: arxiv, 2023
Publisher: arxiv

Motivic Euler Characteristic of Nearby Cycles and a Generalized Quadratic Conductor Formula

Author(s): Ran Azouri
Published in: arXiv, 2021
Publisher: arXiv

A Quadratically Enriched Correspondence Theorem

Author(s): Puentes, Andrés Jaramillo; Pauli, Sabrina
Published in: arxix, 2022
Publisher: arxiv

Atiyah-Bott localization in equivariant Witt cohomology

Author(s): Marc Levine
Published in: arxiv, 2022
Publisher: arxiv

Local terms of the motivic Verdier pairing

Author(s): Jin, Fangzhou
Published in: arxiv, 2020
Publisher: arxiv

A Wall Crossing Formula for Motivic Enumerative Invariants

Author(s): Jaramillo Puentes, Andrés
Published in: arxiv, 2024
Publisher: arxiv

Atiyah-Segal completion for the Hermitian K-theory of Symplectic Groups

Author(s): Hornbostel, Jens; Rohrbach, Herman; Zibrowius, Marcus
Published in: arxiv, 2023
Publisher: arxiv

Six-Functor Formalisms I : Constructing functors using category of simplices

Author(s): Chowdhury, Chirantan
Published in: arxiv, 2023
Publisher: arxiv

Trace maps in motivic homotopy and local terms

Author(s): Jin, Fangzhou
Published in: Trans. Amer. Math. Soc. Ser. B, Issue 11 (2024), 2024, Page(s) 215–247, ISSN 2330-0000
Publisher: Amer. Math. Soc.
DOI: 10.1090/btran/169

Euler characteristics of homogeneous and weighted-homogeneous hypersurfaces

Author(s): Marc Levine, Simon Pepin Lehalleur, Vasudevan Srinivas
Published in: Adv. Math., Issue 441 (2024), 2024, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2024.109556

Algebraic elliptic cohomology and flops II: SL-cobordism

Author(s): Marc Levine; Yaping Yang; Gufang Zhao
Published in: Adv. Math, Issue 384, 2021, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2021.107726

The intrinsic stable normal cone

Author(s): Marc Levine
Published in: Algebraic Geometry, Issue 8 (5) (2021), 2021, Page(s) 518–561, ISSN 2313-1691
Publisher: Foundation Compositio Mathematics
DOI: 10.14231/ag-2021-016

Algebraic cobordism and étale cohomology

Author(s): Elmanto, Elden; Levine, Marc; Spitzweck, Markus; Østvær, Paul Arne
Published in: Geom. Topol., Issue 26(2)(2022), no. 2, 2022, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2022.26.477

On the rational motivic homotopy category

Author(s): Frédéric Déglise, Jean Fasel, Fangzhou Jin, Adeel A. Khan
Published in: Journal de l’École polytechnique — Mathématiques, Issue 8, 2021, Page(s) 533-583, ISSN 2429-7100
Publisher: École polytechnique
DOI: 10.5802/jep.153

Aspects of Enumerative Geometry with Quadratic Forms

Author(s): Marc Levine
Published in: Documenta Mathematica, Issue 25, 2020, Page(s) 2179-2239, ISSN 1431-0635
Publisher: Deutsche Mathematiker-Vereinigung
DOI: 10.25537/dm.2020v25.2179-2239

On some finiteness results in real étale cohomology

Author(s): Jin, Fangzhou
Published in: Bull. London Math. Soc., 2022, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.12563

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