Andrey Lazarev is a mathematician at the University of Lancaster. His research is at the interface of mathematical physics and pure mathematics, including algebraic topology, homological algebra and deformation theory, noncommutative geometry and conformal field theory.
On string topology operations in the generality of (the homology of loop spaces of) Poincaré duality spaces:
See also:
Joseph Chuang, Andrey Lazarev, L-infinity maps and twistings, arxiv/0912.1215;
Joseph Chuang, Andrey Lazarev,_Abstract Hodge decomposition and minimal models for cyclic algebras_, arxiv./0810.2393,
Joseph Chuang, Andrey Lazarev,_Feynman diagrams and minimal models for operadic algebras_, arxiv/0802.3507,
Joseph Chuang, Andrey Lazarev,_Dual Feynman transform for modular operads_, arxiv/0704.2561
Alastair Hamilton, Andrey Lazarev: Symplectic -algebras, Mosc. Math. J. 8 (2008), no. 3, 443–475, 615, arxiv/0707.3951;
Cohomology theories for homotopy algebras and noncommutative geometry, Algebr. Geom. Topol. 9 (2009), 1503–1583, arxiv/0707.3937;
Graph cohomology classes in the Batalin-Vilkovisky formalism, J.Geom.Phys. 59:555-575, 2009, arxiv/0701825;
Characteristic classes of A-infinity algebras, math.QA/0608395
Andrey Lazarev, The Stasheff model of a simply-connected manifold and the string bracket, math.AT/0512596
A. Lazarev, A. A. Voronov, Graph homology: Koszul and Verdier duality, math.QA/0702313
Jonathan Block, Andrey Lazarev, André-Quillen cohomology and rational homotopy of function spaces, math.KT/0306406
Andrey Lazarev, Def. 5.1 in: Maurer-Cartan moduli and models for function spaces (arxiv:1109.3715)
Joseph Chuang, Andrey Lazarev, Def. 1.6 in: Combinatorics and formal geometry of the master equation, Lett. Math. Phys. 103 (2013) 79–112 (arXiv:1205.5970, doi:10.1007/s11005-012-0586-1)
On Koszul duality duality:
On the Riemann-Hilbert correspondence:
Last revised on September 26, 2025 at 18:25:55. See the history of this page for a list of all contributions to it.