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Complete filtered -algebras and their homotopy theory
Submitted for publication (2022)
arXiv preprint 47 pages -
Which homotopy algebras come from transfer? with Martin Markl
Proceedings of the American Mathematical Society vol. 150 (2022) 975–990
arXiv preprint 15 pages -
An explicit model for the homotopy theory for finite type Lie -algebras
Algebraic and Geometric Topology vol. 20 (2020) 1371-1429
arXiv preprint 59 pages -
On the homotopy theory for Lie -groupoids, with an application to integrating -algebras with Chenchang Zhu
Algebraic and Geometric Topology vol. 20 (2020) 1127-1219
arXiv preprint 93 pages -
The cohomology of the full directed graph complex with Vasily Dolgushev
Algebras and Representation Theory vol. 23 (2020) 917-961
arXiv preprint 45 pages -
Homotopical properties of the simplicial Maurer–Cartan functor
In MATRIX Annals, MATRIX Book Series 1
D. Wood, J. de Gier, C. Praeger, T. Tao (Eds.) Springer Berlin 2018
arXiv preprint 12 pages -
On an enhancement of the category of shifted -algebras with Vasily Dolgushev
Applied Categorical Structures vol. 25 (2017) 489-503
arXiv preprint 15 pages -
Homotopy moment maps with Martin Callies, Yaël Frégier and Marco Zambon
Advances in Mathematics vol. 303 (2016) 954-1043
arXiv preprint 90 pages -
Higher -gerbe connections in geometric prequantization with Domenico Fiorenza, and Urs Schreiber
Reviews in Mathematical Physics vol. 28 (2016) 1650012-1-1650012-72
arXiv preprint 73 pages -
Kontsevich’s graph complex, , and the deformation complex of the sheaf of polyvector fields
with Vasily Dolgushev and Thomas Willwacher
Annals of Mathematics vol. 182 (2015) 855-943
arXiv preprint 89 pages -
What do homotopy algebras form? with Vasily Dolgushev and Alex Hoffnung
Advances in Mathematics vol. 274 (2015) 562-605
arXiv preprint 44 pages -
A version of the Goldman-Millson Theorem for filtered -algebras with Vasily Dolgushev
Journal of Algebra vol. 430 (2015) 260-302
arXiv preprint 43 pages -
-algebras of local observables from higher prequantum bundles with Domenico Fiorenza and Urs Schreiber
Homology, Homotopy and Applications vol. 16 (2014) 107-142
arXiv preprint 36 pages -
2-plectic geometry, Courant algebroids, and categorified prequantization
Journal of Symplectic Geometry vol. 11 (2013) 53-91
arXiv preprint 39 pages -
A higher Chern-Weil derivation of AKSZ sigma-models with Domenico Fiorenza and Urs Schreiber
International Journal of Geometric Methods in Modern Physics vol. 10 (2013) 1250078-1-1250078-36
arXiv preprint 37 pages -
Notes on algebraic operads, graph complexes, and Willwacher’s construction with Vasily Dolgushev
Contemporary Mathematics vol. 583 (2012) 25-146
arXiv preprint 122 pages -
-algebras from multisymplectic geometry
Letters in Mathematical Physics vol. 100 (2012) 29-50
arXiv preprint 22 pages -
Categorified symplectic geometry and the string Lie 2-algebra with John Baez
Homology, Homotopy and Applications vol. 12 (2010) 221-236
arXiv preprint 16 pages -
Categorified symplectic geometry and the classical string with John Baez and Alex Hoffnung
Communications in Mathematical Physics vol. 293 (2010) 701-725
arXiv preprint 25 pages