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We study the deformation theory of morphisms of properads and props thereby extending to a non-linear framework Quillen's deformation theory for commutative rings. The associated chain complex is endowed with a L∞-algebra structure and higher operations. Its Maurer-Cartan elements correspond to deformed structures, which allows us to give a geometric… (More)

In this paper and its follow-up [MV08], we study the deformation theory of mor-phisms of properads and props thereby extending Quillen's deformation theory for commutative rings to a non-linear framework. The associated chain complex is endowed with an L ∞-algebra structure. Its Maurer-Cartan elements correspond to deformed structures, which allows us to… (More)

This paper is the follow-up of [MV08].

- Dmitri Simberg, Ji-Ho Park, Priya P Karmali, Wan-Ming Zhang, Sergei Merkulov, Keith McCrae +3 others
- Biomaterials
- 2009

In order to understand the role of plasma proteins in the rapid liver clearance of dextran-coated superparamagnetic iron oxide (SPIO) in vivo, we analyzed the full repertoire of SPIO-binding blood proteins using novel two-dimensional differential mass spectrometry approach. The identified proteins showed specificity for surface domains of the nanoparticles:… (More)

- M Markl, S Merkulov
- 2006

We introduce and study wheeled PROPs, an extension of the theory of PROPs which can treat traces and, in particular, solutions to the master equations which involve divergence operators. We construct a dg free wheeled PROP whose representations are in one-to-one correspondence with formal germs of SP-manifolds, key geometric objects in the theory of… (More)

The real form Spin(6, H) ⊂ End(R 32) of Spin(12, C) ⊂ End(C 32) is absolutely irreducible and thus satisfies the algebraic identities (40) and (41). Therefore, it also occurs as an exotic holonomy and the associated super-manifold M g admits a SUSY-invariant polynomial. This real form has been erraneously omitted in our paper. Also, the two real… (More)

- Walter De, Gruyter Berlin, Sergei Merkulov
- 2009

In this paper and its follow-up [32], we study the deformation theory of morphisms of properads and props thereby extending Quillen's deformation theory for commutative rings to a non-linear framework. The associated chain complex is endowed with an L y-algebra structure. Its Maurer-Cartan elements correspond to deformed structures , which allows us to give… (More)

- Walter De, Gruyter Berlin, Sergei Merkulov
- 2009

This paper is the follow-up of [39].

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