Elliptic cohomology and quantum field theory

Authors: Berwick-Evans, Daniel

Subject Terms: Mathematics - Algebraic Topology, Mathematical Physics

Access URL: http://arxiv.org/abs/2408.07693

Power operations preserve Thom classes in twisted equivariant Real K-theory

Authors: Berwick-Evans, Daniel, Guo, Meng

Subject Terms: Mathematics - Algebraic Topology, Mathematics - K-Theory and Homology

Access URL: http://arxiv.org/abs/2407.13031

Averaging Property of Wedge Product and Naturality in Discrete Exterior Calculus

Authors: Schubel, Mark D., Berwick-Evans, Daniel, Hirani, Anil N.

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Differential Geometry, 65N22, 57Z20, 53Z30

Access URL: http://arxiv.org/abs/2310.00725

The families analytic index for $1|1$-dimensional Euclidean field theories

Authors: Berwick-Evans, Daniel

Subject Terms: Mathematics - Algebraic Topology, Mathematical Physics

Access URL: http://arxiv.org/abs/2303.09207

How do field theories detect the torsion in topological modular forms?

Authors: Berwick-Evans, Daniel

Subject Terms: Mathematics - Algebraic Topology, Mathematical Physics

Access URL: http://arxiv.org/abs/2303.09138

The families Clifford index and differential KO-theory

Authors: Berwick-Evans, Daniel

Subject Terms: Mathematics - Algebraic Topology, Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/2303.09091

String structures, 2-group bundles, and a categorification of the Freed-Quinn line bundle

Authors: Berwick-Evans, Daniel, Cliff, Emily, Murray, Laura, Nakade, Apurva, Phillips, Emma

Subject Terms: Mathematics - Algebraic Topology, Mathematics - Category Theory

Access URL: http://arxiv.org/abs/2110.07571

Discrete Vector Bundles with Connection and the Bianchi Identity

Authors: Berwick-Evans, Daniel, Hirani, Anil N., Schubel, Mark D.

Subject Terms: Mathematics - Differential Geometry, Mathematical Physics, Mathematics - Numerical Analysis, 53Z05, 53B05, 53-08

Access URL: http://arxiv.org/abs/2104.10277

Chern characters for supersymmetric field theories

Authors: Berwick-Evans, Daniel

Source: Geom. Topol. 27 (2023) 1947-1986

Subject Terms: Mathematics - Algebraic Topology, Mathematical Physics, Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/2010.03663

Power operations in the Stolz--Teichner program

Authors: Barthel, Tobias, Berwick-Evans, Daniel, Stapleton, Nathaniel

Source: Geom. Topol. 26 (2022) 1773-1848

Subject Terms: Mathematics - Algebraic Topology, 55N34, 81T60, 55S25

Access URL: http://arxiv.org/abs/2006.09943

Classifying spaces of infinity-sheaves

Authors: Berwick-Evans, Daniel, de Brito, Pedro Boavida, Pavlov, Dmitri

Source: Algebr. Geom. Topol. 24 (2024) 4891-4937

Subject Terms: Mathematics - Algebraic Topology, Mathematics - Category Theory, Mathematics - K-Theory and Homology, 55N30, 57R19, 55N20, 18G60, 22A22, 18F10, 18F20, 14D23, 14A20, 58D27, 58D29, 14D22, 55R35 (Primary), 55U35, 18G55, 14F42, 55R65 (Secondary)

Access URL: http://arxiv.org/abs/1912.10544

Supersymmetric localization, modularity and the Witten genus

Authors: Berwick-Evans, Daniel

Subject Terms: Mathematics - Algebraic Topology, Mathematical Physics, Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/1911.11015

A de Rham model for complex analytic equivariant elliptic cohomology

Authors: Berwick-Evans, Daniel, Tripathy, Arnav

Subject Terms: Mathematics - Algebraic Topology, Mathematics - Algebraic Geometry, Mathematics - Representation Theory

Access URL: http://arxiv.org/abs/1908.02868

Smooth one-dimensional topological field theories are vector bundles with connection

Authors: Berwick-Evans, Daniel, Pavlov, Dmitri

Source: ALGEBRAIC AND GEOMETRIC TOPOLOGY. 23(8):3707-3744

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCRN632817953&indx=1&recIds=ETOCRN632817953

A model for complex analytic equivariant elliptic cohomology from quantum field theory

Authors: Berwick-Evans, Daniel, Tripathy, Arnav

Subject Terms: Mathematics - Algebraic Topology, High Energy Physics - Theory, Mathematics - Algebraic Geometry, Mathematics - Differential Geometry, Mathematics - Representation Theory

Access URL: http://arxiv.org/abs/1805.04146

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Equivariant elliptic cohomology, gauged sigma models, and discrete torsion

Authors: Berwick-Evans, Daniel

Source: Transactions of the American Mathematical Society. 375(1):369-428

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCRN628309472&indx=1&recIds=ETOCRN628309472

The equivariant Chern character as super holonomy on loop stacks

Authors: Berwick-Evans, Daniel, Han, Fei

Subject Terms: Mathematics - Algebraic Topology, Mathematical Physics, Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/1610.02362